Factor a quadratic when the leading coefficient is

afasiask7xg

afasiask7xg

Answered question

2022-04-04

Factor a quadratic when the leading coefficient is not equal to 1 and you can't factor by grouping?
If one has a quadratic, for example 5x210x2, which has real roots which via the quadratic equation are 5±355, can you find its factored form. As I understand it 5x210x2(xroot1)(xroot2)? How can you turn this type of quadratic into a factored form?

Answer & Explanation

pypberissootcu

pypberissootcu

Beginner2022-04-05Added 14 answers

Take the coefficient of the squared term (In this quadratic the coefficient is 5). Multiply this coefficient multiply it by (xroot1) and (xroot2)  where root1 and root2 are the two factors of the quadratic polynomial (In this quadratic the two roots are 5+355 and 5355). The final solution being:
5(x5+355)(x5355)

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