#Factorize Formula

Two cubics and neither one factors? Don't panic — subtract them 🧠 x³ + 2x² − 13x + 10 x³ + x² − 10x + 8 → Subtract: x³ cancels, you get x² − 3x + 2 → Factor: (x − 1)(x − 2) → Verify: plug x=1 and x=2 into both originals — all zeros ✅ H.C.F. = x² − 3x + 2 The trick? When both cubics have the same leading term, subtraction drops the degree and hands you the answer. Works every time. Save this & follow for exam tricks your textbook skips 🔥 . . . #math #algebra #hcf #gcd #polynomials #subtractiontrick #mathtricks #mathreels #highschoolmath #mathtutor #studygram #learnmath #mathhelp #examtips #studytips #mathhacks #cubicpolynomials #factoring #mathematics #mathed #reelsmath

Can't factor? Don't stress — just find the HCF 🔓 The shortcut nobody teaches you: → Find the HCF of A and B (call it F) → Divide: a = A ÷ F, b = B ÷ F → LCM = a · b · F Or just use: LCM = (A × B) ÷ HCF No full factoring. No guessing. One formula. Quick check to verify your answer: A × B should always equal HCF × LCM ✅ This trick saved me every time factoring looked impossible. Save it & follow for more algebra shortcuts 🔥 . . . #math #algebra #lcm #hcf #gcd #polynomials #mathtricks #mathreels #highschoolmath #mathtutor #studygram #learnmath #mathhelp #examtips #studytips #mathhacks #lowestcommonmultiple #factoring #divisionshortcut #mathematics #mathed #reelsmath

How Do We Factorise a Quadratic When We Have a Coefficient of X Squared? In Higher Maths, you need to know how to factorise a quadratic when there is a coefficient of x^2 other than 1. Let’s tackle it together 🚀 In this video we talk about the thought process when factorising a quadratic that has an x^2 with a coefficient other than 1. Remember 🧠 You multiply the number at the front and the number at the end Then you want to find 2 numbers that: Multiply to give you that and add to give you the number in the middle Replace the x term using the 2 numbers you have just found Factorise the front 2 terms taking out the hcf Factorise the end 2 terms taking out the hcf The brackets should be the same! Now you have your solution! ✅ Save this for revision 💬 Drop a comment if you want example questions or need help with anything specific! #Maths #HigherMaths #ScottishHigherMaths #National5Maths #Quadratics #Parabolas #Factorising

How Do We Solve Quadratic Inequalities That Are Greater Than 0? In Higher Maths, you will learn about quadratics and you need to know how to solve inequalities with a quadratic function. Let’s tackle it together 🚀 In this video we go through how to solve a quadratic inequality by factorising, finding the roots of the quadratic then using a sketch to determine where our parabola is less than 0 on the y-axis. We use part of our solution from the last video so watch that part first to see how we get roots at x=-4 and x=1! Remember 🧠 The roots are where the parabola crosses the x-axis, this means y=0 If ax^2 + bx + c > 0 then we evaluate where we are above the x-axis If ax^2 + bx + c < 0 then we evaluate where we are below the x-axis If the part of the parabola is to the left of the root at r then we say x<r If the part of the parabola is to the right of the root at r then we say x>r ✅ Save this for revision 💬 Drop a comment if you want example questions or need help with anything specific! #Maths #HigherMaths #ScottishHigherMaths #Polynomials #Quadratics #Parabola #Parabolas #Roots #Inequalities

How Do We Find the Roots of a Quadratic Function by Factorising? In Higher Maths, you will learn about quadratics and you need to know how to find the roots of your quadratic function. Let’s tackle it together 🚀 In this video we talk about what the roots of a quadratic are, what these look like graphically and how to solve for them. Remember 🧠 The roots are where the parabola crosses the x-axis, this means y=0 Set y=0 then factorise your quadratic where possible Once factorised, set each bracket equal to 0 to solve for x ✅ Save this for revision 💬 Drop a comment if you want example questions or need help with anything specific! #Maths #HigherMaths #ScottishHigherMaths #Polynomials #Quadratics #Parabola #Parabolas #Roots #Discriminant

Think factorization is tough? 🤯 Watch how X⁵+x² becomes super easy using one common factor. 📚 Best for Class 8–10 students ⚡ Simple steps • Quick method ❤️ Like | 🔁 Share | ➕ Follow for more easy maths tricks ✍️ Comment “MORE” if you want the next problem! #factorization #algebra #maths #mathsreels #mathsshorts

People seem to struggle with this one, so here a step-by-step explanation of factorising quadratics with a coefficient of x² greater than 1. #maths #mathsteacher #education #teachersofinstagram

The question everyone messes up: "Solve the quadratic equation: x² - 5x + 6 = 0" Sounds easy right? But here's where 70% students lose marks: WRONG WAY (2/4 marks only): They write: x = 2, x = 3 Done. Missing: → No formula shown (method marks lost!) → No working steps → No verification RIGHT WAY (Full 4 marks): Step 1: Write the formula (1 mark) For ax² + bx + c = 0 x = [-b ± √(b²-4ac)] / 2a Step 2: Identify values (0.5 mark) a = 1, b = -5, c = 6 Step 3: Substitute (1 mark) x = [5 ± √(25-24)] / 2 x = [5 ± 1] / 2 x = 3 or x = 2 Step 4: Verify (0.5 mark) Put x=3: 9-15+6 = 0 ✅ Put x=2: 4-10+6 = 0 ✅ Step 5: Write answer (1 mark) Therefore, x = 2 or x = 3 This structure gets you FULL marks. Even if your final answer is slightly wrong, you still get 3/4 marks for METHOD. But if you just write "x = 2, 3" with no working? Maximum 2 marks. I learned this the hard way. Lost 8 marks in my first test by not showing working. Teacher said "I know you solved it mentally but I need to see your method." Now I ALWAYS write: → Formula first → All steps → Verification → Clear answer Takes 2 extra minutes. Saves 2-4 marks EVERY question. Worth it? Absolutely 💯 Practice writing this way starting today. Save this for your exam revision 📌 #MathsTips #BoardExams #QuadraticEquations #CBSEMaths #ExamHacks

Functions AND the difference of two squares in the SAME question? WHAT?!?! Yeh! In this question the composite function ends up being a perfect square. Most students ended up expanding the perfect square and that takes a lot of time... ... especially for the number of marks that they gave for this question. If you were able to spot that the composite function was a difference of two squares, that made the simplification SO much simpler. But, hey, no hate on perfect squares, they're pretty cool too. Let me know what else you want me to cover I gotcha!

Most people see this fraction and give up instantly 😤 But there's a sneaky trick that cracks it wide open 🔓 Here's the secret: → Factor the easy part first → Hunt for the common factor → Cancel and simplify ✨ Problem: (x³ + 3x² − 4x) / (7x³ − 18x² + 6x + 5) Answer: x(x+4) / (7x² − 11x − 5) Save this for your next exam 💾 #math #algebra #mathtricks #mathtips #simplification #factoring #polynomials #mathshorts #learnmath #mathisfun #studytips #examprep #mathhelp #highschoolmath #precalculus #mathematics #educationalcontent #studygram #mathreels #viralmath

Two cubics and they want the H.C.F.? Don't panic — group it 🧩 x³ + 3x² − 8x − 24 x³ + 3x² − 3x − 9 Factor by grouping: → 1st: x²(x+3) − 8(x+3) = (x+3)(x²−8) → 2nd: x²(x+3) − 3(x+3) = (x+3)(x²−3) (x+3) shows up in BOTH 👀 Everything else? Not common. H.C.F. = (x + 3) ✅ When you see 4 terms and nothing obvious — grouping is always the play. Save this & follow for more walkthroughs 🔥 . . . #math #algebra #hcf #gcd #polynomials #factoring #factorbygrouping #mathtricks #mathreels #highschoolmath #mathtutor #studygram #learnmath #mathhelp #examtips #studytips #mathhacks #cubicpolynomials #mathematics #mathed #reelsmath

Need advice on how to pick u or even how to start a calculus problem? This is the kind of strategy I talk through in all my YouTube videos—what’s actually going through my mind when I set up integrals, choose substitutions, and decide what to try next. Nobody is born knowing u-substitution. It comes from practice, repetition, and understanding the thought process—and you can absolutely get there too. Head to Math with Professor V for calculus, linear algebra, differential equations, pre-calc, stats, and more. xoxo, Professor V #MathWithProfessorV #Calculus #Calc1 #STEM #MathHelp