How do you factor quadratic equations with a coefficient?
February 20th, 2023
Good question .
basically what are asking me to factor is :
##ax^2 + bx +c##
here is an eg.
##4x^2 – 15x + 9.##
First you need to make column like this
SUM = COEFFICIENT OF x =( -15)
product = (COEFFICIENT of x^2 ##*## COEFFICIENT of constant)= 36
Now you have to find factors which have a sum of -15 and a product of 36
THE FACTORS ARE (-12), (-3)
So now what we do is split the middle term in the equation and factor it out
##4x^2 – 12x– 3x +9.##
##4x(x – 3)–3 (x-3).##
##(4x–3 )(x – 3).##
HENCE FACTORED
##f(4x^2 – 15x + 9.) = (4x–3 )(x – 3)##