Which polynomial has factors of 4x – 7 and x + 4? 3x2 + x – 3 4x2 + 9x – 28 3x2 – 7x – 3 4x2 – 23x – 28?

Given are the factors (4x – 7) and (x + 4).

We know any polynomial is the product of its all factors. We can find the expression of polynomial by multiplying the factors together.

Multiplying given factors :-

⇒ (4x – 7)·(x + 4)

Using Distributive property :-

⇒ 4x·(x + 4) - 7·(x+4)

Using Distributive property once again :-

⇒ 4x·x + 4x·4 - 7·x - 7·4

⇒ 4x² + 16x - 7x - 28

Combining like terms :-

⇒ 4x² + 9x - 28

So, option B is correct i.e. 4x² + 9x - 28.

step-by-step explanation: