divide: x^2+7x+10 by x+2 / x^2-25 by 2x-10

Question

^{X^2 + 7x +10 by x+2 / x^2 -25 by 2x -10}

 

Answer 1

Patricia,

 

Try factoring the polynomials, and see if one of the factors is the divisor. So for the first one,

 

x^2 + 7x + 10 = (x+2) (x + 5)

 

so, x+2 is one of the factors, so the answer is x+5.

 

For the 2nd one, note that x^-25= (x+5)(x-5)

 

and 2x-10= 2(x-5).