Question

if the polynomial py =-2y⁴-3y²+8y³+a²-4y+4leqves a remainder 32 when divided by y-2 find the value of a​

Answer 1

Step-by-step explanation:

Given, p(y)=4y3+4y2−y−1   is a multiply of (2y+1).

To check that 2y+1 is a multiple, the value of 2y+1=0 ⟹ y=−21.

Now, put y=−21 in expression, we get,

p(−21)=4(−21)3+4(−21)2−(−21)−1

⇒p(−21)=(4×−81)+(4×41)+21−1

⇒p(−21)=−21+1+21−1

⇒