SOLUTION: Use the Factor Theorem to determine whether the given binomial is a factor or not of p(x). If not, give the remainder. 1. P(x)= x²-6x-16; x+2 2. P(x)= 3x²+8x-35; x+5

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Use the Factor Theorem to determine whether the given binomial is a factor or not of p(x). If not, give the remainder. 1. P(x)= x²-6x-16; x+2 2. P(x)= 3x²+8x-35; x+5       Log On


   

Question 1187193: Use the Factor Theorem to determine whether the given binomial is a factor or not of p(x). If not, give the remainder.
1. P(x)= x²-6x-16; x+2
2. P(x)= 3x²+8x-35; x+5
Answer by ikleyn(52802) About Me  (Show Source):
You can put this solution on YOUR website!
.

(1)  Calculate P(-2).

     In other words, substitute -2 instead of x into the polynomial and calculate its value.


     If the value  P(-2)  is 0 (zero), then the given binomial is the factor.

     If the value  P(-2)  is not zero, then this value is the remainder.




(2)  Same with this case:  calculate P(-5).

     In other words, substitute -5 instead of x into the polynomial and calculate its value.


     If the value  P(-5)  is 0 (zero), then the given binomial is the factor.

     If the value  P(-5)  is not zero, then this value is the remainder.