Factorising quadratics

Question 1

What is the opposite of factorising quadratics

Answer 1

Expanding double brackets

Question 2

What are the steps to factorising a quadratic equation?

Answer 2

1.Write out the equation with it being equal to (x+a) (x+b)
2.expand the brackets to get x squared + ax + bx + ab
3.next simplify this to x squared + (a+b)x + ab then find out what a+b equals and what ab equals
4. now find all the factor pairs that make ab then pick the pair which sum to a+b
5.replace this pair with a and b in the brackets and expand them to be sure of your answer

Question 3

What is a quadratic equation

Answer 3

ax² + bx + c = 0, where x is the variable, and a, b, and c are constants with a ≠ 0. The term “quadratic” comes from “quad,” meaning square, as the variable is squared.

Question 4

How do you factorise a quadratic equation where there are more than one squared xs?

Answer 4

You would use the exact same method but when adding the factor pairs together you would multiply one at a time by the number before x squared and then put that factor in the opposite bracket to the bracket with more x squared.