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Select the correct answer. Which expression is equivalent to this polynomial? 15x − 24 A. 5(3x − 8) B. 3(5x − 5) C. 3(5x − 24) D. 3(5x − 8)

Answer :

15x-24

the answer is not B because 3*-5= -15, we need -24

the answer is not C because 3*-24= -72

the answer is not A because 5*8= 40

Answer :

D. 3(5x − 8)

(3)(5x)(3)(-8)

15x-24= 15x-24

luisejr77

Answer: OPTION D.

Step-by-step explanation:

Given the following polynomial:

[tex]15x - 24[/tex]

You can find an equivalent expression by factoring out the Greatest Common Factor (GCF).

In order to find the Greatest Common Factor, you need to descompose the coefficients 15 and 24 into their prime factors:

[tex]15=3*5\\24=2*2*2*3=2^3*3[/tex]

You can observe that the Greatest Common Factor is:

[tex]GCF=3[/tex]

Then, factoring out 3, you get:

[tex]3(5x-8)[/tex]

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