The binomials $(x-2)$ and $(2x+3)$ are the factors of which polynomial?

A.$2{x}^{2}-6$

B.$2{x}^{2}-x-6$

C.$2{x}^{2}+x-6$

D.$2{x}^{2}+7x-6$

A.

B.

C.

D.

Trent Carpenter
2021-08-08
Answered

The binomials $(x-2)$ and $(2x+3)$ are the factors of which polynomial?

A.$2{x}^{2}-6$

B.$2{x}^{2}-x-6$

C.$2{x}^{2}+x-6$

D.$2{x}^{2}+7x-6$

A.

B.

C.

D.

You can still ask an expert for help

Alara Mccarthy

Answered 2021-08-09
Author has **85** answers

Step 1
NSL
We have to find the polynomial which the binomials $(x-2)$ and $(2x+3)$ are the factors.

Then,

The polynomial is

Step 2

$=(x-2)(2x+3)$

$=2{x}^{2}+3x-4x-6$

$=2{x}^{2}-x-6$

Hence ,

Polynomial is$2{x}^{2}-x-6$

Answer = (B)

Then,

The polynomial is

Step 2

Hence ,

Polynomial is

Answer = (B)

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