Question

by remainder theorem find the remainder ,when p(x) is divided by g(x),where p(x)=xcube -3x square +4x+50 ,g(x)=x-3

Answer 1

Answer:

62

Step-by-step explanation:

Here g(x) = x - 3

x - 3 = 0

x = 3     [zero of g(x)]

According to Remainder Theorem

Remainder of p(x) ÷ g (x) = p(zero of g(x))

∴ p(3) will give us value of remainder

p(x) = x³ - 3x² + 4x + 50

p(3) = (3)³ - 3(3)² + 4(3) + 50

      = 27 - 27 + 12 + 50

      = 62

∴ Remainder, when p(x) divided by g(x), will be 62