Question

Help!!! Divide the polynomial by 7x

Answer 1

4x⁴- 9x³+x² is the answer.

Explanation:

We have given the polynomial.

28x⁵ - 63 x⁴ +7x³

We have to divide this polynomial by 7x.

Hence,

(28x⁵-63x⁴+7x³)/7x

Dividing each term of givin polynomial by 7x, we have

(28x⁵/7x) - (63x⁴/7x)+(7x³/7x)

(28x⁵-63x⁴+7x³)/7x = 4x⁴-9x³+x²

4x⁴- 9x³+x² is the polynomial after simplification.

Answer 2

`4x^4-9x^3+x^2`

Explanation:

Dividing the polynomial by 7x means dividing each term by 7x, as shown below:

`(28x^5-63x^4+7x^3)/(7x)\\=(28x^5)/(7x)-(63x^4)/(7x)+(7x^3)/(7x)\\=4x^4-9x^3+x^2`

In dividing, we also used the property of exponents, shown below:

`(a^x)/(a^y)=a^(x-y)`

So the answer is:
`4x^4-9x^3+x^2`