Question

Divide the polynomials.
Your answer should be a polynomial.
22
49
x +7

Answer 1

Formula used: a²-b²=(a-b)(a+b)

`★\:\:\frac{( {x}^(2) - 49) }{(x + 7)} = \frac{ ({x}^(2) - {7}^(2) ) }{(x + 7)} = ((x - 7)(x + 7))/((x + 7)) =\boxed{ (x - 7)}`

(x-7) is the right answer.

Answer 2

x - 7

Explanation:

Given

`(x^2-49)/(x+7)`

x² - 49 is a difference of squares and factors as (x - 7)(x + 7)

=
`((x-7)(x+7))/(x+7)` ← cancel x + 7 on the numerator/ denominator

= x - 7