Question

Q). USE THE FACTOR THEOREM TO DETERMINE WHETHER g(x) IS A FACTOR OF p(x) IN EACH OF THE FOLLOWING CASES.
$(i) \: p(x) = 2 {x}^{2} + {x}^{2} - 2x - 1 . \: g(x) = x + 1$
$(ii). \: p(x) = {x}^{3} - 4 {x}^{2} + x + 6 .g(x) = x - 3$
WRITE IN COPY AND SEND PHOTOS ​

Answer 1

FACTOR THEOREM: If P(x) is a polynomial of degree n > than 1 and a is any real number then ,

1. x-a is a factor of p (x) , if p(a) = 0

2.p(a) = 0 , if x-a is a factor of p(x)

ANSWER:

1) x+1 is not a factor of polynomial p(x)=2x²+x²-2x-1

2) x-3 is a factor of polynomial p(x)=x³-4x²+x+6

HOPE, IT IS HELPFUL TO YOU!!

MARK AS BRAINLIEST....

PLEASE THANKS TO MY ANSWERS AND FOLLOW ME ❤️ ❤️