Question

What is the factorization of the polynomial below? 5x2 - 35x + 60

Answer 1

Answer:

$5(x-3)(x-4)$

Step-by-step explanation:

$5x^2-35x+60$

Start by factoring out a 5:

$5(x^2-7x+12)$

We need to find two integers that have a product of 12, and a sum of -7:

(-3)(-4)=12

-3-4=-7

We can split -7x into -3x and -4x

$5(x^2-3x-4x+12)$

Factor each half separately:

$5[x(x-3)-4(x-3)]$

Since x and -4 are both being multiplied by x-3, we can combine them:

$5(x-3)(x-4)$