Question

13. By remainder theorem, find the remainder when p(y) is divided by g(y)

i) p(y) = y 3 – 4y2 -2y + 6 and g(y) = 1 -
3
/4
y​

Answer 1

Answer:

Given, p(x) = x² + x² + x² - 5x + 1 and

g(x) = x + 1

q(x) x+1=0⇒x= -1

The remainder when p(x) is divided by g(x)

isp(-1) ...(By Remainder Theorem)

Thus,

p(−1) = (−1)ª + (−1)³ + (−1)² −

5(-1) +1

p(−1) = 1−1+1+5+1

P(-1) = 7