Question

What is the factorization of 3x^2 – 8x + 5?

Answer 1

Answer:

Step-by-step explanation

Step 1: multiply the coefficient a and the constant c. Given that the general expression of a parabolic equation is ax^2+bx+c

3*5=15

Step 2: examine the coefficient b and try to find 2 numbers which you can multiply to get 15, add or subtract and get - 8

In this Case: - 3*-5=15 and - 3+(-5)= - 8

Step3:

You separate the equation in terms of the two factors you have found

3x^2-3x-5x+5=0

Step 4:Factorise

3x(x-1)-5(x-1)=0

(3x-5)(x-1)=0