By Remainder Theorem Find The Remainder, When P(x) Is Divided By ...

Có thể bạn quan tâm

By Remainder Theorem find the remainder, when p(x) is divided by g(x), where p(x) = 4x³ - 12x² + 14x - 3, g(x) = 2x - 1

Solution:

Given, p(x) = 4x³ - 12x² + 14x - 3

g(x) = 2x - 1

We have to find the remainder by remainder theorem when p(x) is divided by g(x).

The remainder theorem states that when a polynomial f(x) is divided by a linear polynomial , x - a, the remainder of that division will be equivalent to f(a).

Let g(x) = 0

2x - 1 = 0

2x = 1

x = 1/2

Substitute x = 1/2 in p(x) to get the remainder,

p(3) = 4(1/2)³ - 12(1/2)² + 14(1/2) - 3

= 4(1/8) - 12(1/4) + 14/2 - 3

= 1/2 - 3 + 7 - 3

= 1/2 + 7 - 6

= 1/2 + 1

= 3/2

Therefore, the remainder is 3/2.

✦ Try This: By Remainder Theorem find the remainder, when p(x) is divided by g(x), where p(x) = x³ - 6x² - x - 3, g(x) = x + 1

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 2

NCERT Exemplar Class 9 Maths Exercise 2.3 Problem 14(iii)