67,800 views
41 votes
41 votes
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?

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

User Yonas
by
3.2k points

2 Answers

16 votes
16 votes

Answer:

Talia needs to factor -1 out of one of the two binomials

Explanation:

She could take:

3x(5x - 1) + 4(-5x + 1)

and rewrite it as:

3x(5x - 1) - 4(5x - 1)

= (3x - 4)(5x - 1)

User Anirban Sanyal
by
2.5k points
14 votes
14 votes

Answer:

The answere is C.

Explanation:

It is right on edge

User Doplumi
by
3.2k points