Question

If (3x2 + 22x + 7) ÷(x + 7) = 3x + 1, then (x + 7)( ) = . The check of the polynomial division problem shows that the product of two polynomials is a polynomial. This supports the fact that the property is satisfied for polynomial multiplication.

Answer 1

Answer:

$(x + 7) * (3x + 1) = (3x^2 + 22x + 7)$

Step-by-step explanation:

Given

$(3x^2 + 22x + 7) \div (x + 7) = 3x + 1$

$(x + 7) * (\ ) = [\ ]$

Required

Complete the blanks

We have:

$(3x^2 + 22x + 7) \div (x + 7) = 3x + 1$

Rewrite as:

$\frac{(3x^2 + 22x + 7) }{ (x + 7)} = 3x + 1$

Cross multiply

$(x + 7) * (3x + 1) = (3x^2 + 22x + 7)$