Question

Complete the sentence below. If (3x2 + 22x + 7) ÷(x + 7) = 3x + 1, then (x + 7)( ) =

Answer 1

The rest of the statement is (3x+1) = 3x²+22x+7.

The divisor is one factor, and the quotient is the second factor. The factors get multiplied to make the dividend.

Answer 2

Complete sentence is (x+7)(3x+1)=3x²+22x+7

Explanation:

If
`(3x^2+22x+7)/(x+7)=3x+1`

We need to write into another form

if
`(p(x))/(q(x))=r(x)` then
`p(x)=r(x)* q(x)`

`(3x^2+22x+7)/(x+7)=3x+1`

`p(x)=3x^2+22x+7`

`q(x)=x+7`

`r(x)=3x+1`

We can write as

`(x+7)* \underline{(3x+1)}=\underline{3x^2+22x+7}`

Thus, Complete sentence is (x+7)(3x+1)=3x²+22x+7