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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 factor out a 3x from the first group and a 4x from the second group. 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).

Sagot :

Talia needs to factor out a negative from one of the groups so the binomials will be the same.

Given

Talia grouped the terms and factored out the GCF of the groups of the polynomial 15x^2 – 3x – 20x + 4.

What is GFC?

The GCF (Greatest Common Factor) of two or more numbers is the greatest number among all the common factors of the given numbers.

To find the GCF of the two terms, the continuous division must be done.

Talia needs to factor out a negative from one of the groups so the binomials will be the same.

She should do as follows:

[tex]\rm (15x^2- 3x) + (-20x + 4)\\\\3x(5x-– 1) + 4(-5x + 1)\\\\3x(5x - 1) - 4(5x - 1)[/tex]

Hence, Talia needs to factor out a negative from one of the groups so the binomials will be the same.

To know more about GFC click the link given below.

brainly.com/question/521142

Answer:

C. Talia needs to factor out a negative from one of the groups so the binomials will be the same.

Step-by-step explanation:

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