Question

Which polynomial has factors of 4x – 7 and x + 4?

A) 3x^2 + x – 3

B) 4x^2 + 9x – 28

C) 3x^2 – 7x – 3

D) 4x^2 – 23x – 28

Answer 1

B. because when you multiply the factors they will get B

Answer 2

Answer: Option 'B' is correct.

Explanation:

Since we have given that

there are two factors i.e.

`4x-7\ and\ x+4`

So, we need to get a polynomial who has these factors :

For this we will use "
`(x+a)(x+b)=x^2+(a+b)x+ab` " .

So, we get ,

`(4x-7)(x+4)\\\\=4x^2+16x-7x-28\\\\=4x^2+9x-28`

Hence, option 'B' is correct.