Question

Talia grouped the terms and factored out the GCF of the groups of the polynomial 15x2 – 3x – 20x + 4. Her work is shown below.

(15x2 – 3x) + (–20x + 4)
3x(5x – 1) + 4(–5x + 1)

Talia noticed that she does not have a common factor. What should she do?

A.Talia needs to leave the polynomial as is because it is prime and cannot be factored.
B.Talia needs to group the terms differently.
C.Talia needs to factor out a negative from one of the groups so the binomials will be the same.
D.Talia needs to apply the distributive property to get the expression (3x + 4)(5x – 1).

Answer 1

C is the answer

Explanation:

Answer 2

I think the correct answer from the choices listed above is option C. C.Talia needs to factor out a negative from one of the groups so the binomials will be the same. She should do as follows:

(15x2 – 3x) + (–20x + 4)
3x(5x – 1) + 4(–5x + 1)
3x(5x – 1) - 4(5x - 1)