Question

Use the factor theorem to determine whether the first polynomial is a factor of the second polynomial. x - 5; 3x2 5x 50

Answer 1

no,the first polynomial is not a factor of the second polynomial

Answer 2

Notice, the factor or divisor is x-5, so we could just do a quick synthetic division on it for x - 5 = 0, x = 5, so, let's divide it by 5.

(3x^2+5x+50)/(x-5)--> 5  3  5  50         remainder is 120 not 0

                                            15  70        so its not a factor

                                         3  20  120