Question

Completely factor the polynomial 8x2 – 24x + 20x – 60. 8x(x + 3)(x – 5) (4x – 3)(2x – 5) 2(2x – 3)(2x + 5) 4(x – 3)(2x + 5)

Answer 1

8x2 – 24x + 20x – 60

We are given the expression:

$8x^{2}-24x+20x-60$

Now we have to perform following steps here:

Step 1: Find the GCF

The GCF here is 4, so taking out the GCF

$8x^{2}-24x+20x-60$

=$4(2x^{2}-6x+5x-15)$

Step 2: Factor by grouping

Group first two terms together and last two terms together,

$4[(2x^{2}-6x)+(5x-15)]$

Now factor each group by finding GCF,

$4[(2x(x-3)+5(x-3)]$

=$4[(2x+5)(x-3)]$

Answer: The final factorised form is $4[(2x+5)(x-3)]$.

Answer 2

Answer:

D

Step-by-step explanation: