Question

check whether the polynomial p(y) = 4y3 + 4y2 -y-1 is a multiple of (2y+1).

Answer 1

Yes (2y+1)is a multiple of the above expression. You can get it by dividing the expression by its factor.

Answer 2

Answer:

0

step by step explanation :-

As you know, (p) will be a multiple of (2y+1) only,if (2y+1) divides p(y) exactly.

We shall first find the zero of the divisor , 2y+1, i.e , y = -1/2 ,

replace y -1/2 in p (y)

p [-1/2] = 4 [-1/2]³ + 4 [-1/2]² - [-1/2] - 1

= 4 [-1/8] + 4 [1/4] + 1/2 - 1

= -1/2 + 1 + 1/2 - 1

= 0