Question

divide FX by GX find the quotient. fx=x cube-125,gx=x square+5x+25​

Answer 1

Answer:

x-5

Step-by-step explanation:

x3−125

x2+5x+25

=

x3−125

x2+5x+25

=

(x−5)(x2+5x+25)

x2+5x+25

=x−5

Answer 2

Concept:

Dividing polynomials is an arithmetic operation in which a polynomial is divided by another polynomial, usually of lower degree than the dividend.

Given:

f(x) = x³-125.

g(x) = x²+5x+25.

Find:

Divide f(x) with g(x).

Solution:

Dividing the polynomial f(x) with g(x) is,

x²+5x+25) x³- 125 ( x - 5

              -  x³+5x²+25x

                  0 -5x²-25x-125

               -      -5x²-25x-125      

                         0          

Hence, the quotient is x-5.