Using remainder theorem, find the remainder on dividing f(x) by (x + 3) where f(x) = 2x2 – 5x + 1

Using remainder theorem, find the remainder on dividing f(x) by (x + 3) where f(x) = 2x² – 5x + 1

Sum

Let x + 3 = 0
⇒ x = -3
Substituting the value of x in f(x),
f(x) = 2x² – 5x + 1
∴ f(-3) = 2(-3)² - 5(-3) + 1
= 18 + 15 + 1
= 34.
Hence Reminder = 34.

shaalaa.com

Is there an error in this question or solution?

Chapter 7: Factorization - Exercise 6.1

Chapter 7 Factorization
Exercise 6.1 | Q 2.1

Find the remainder when x⁴ – 3x² + 2x + 1 is divided by x – 1.

Find the number which should be added to x² + x + 3 so that the resulting polynomial is completely divisible by (x + 3).

Find the remainder (without division) on dividing f(x) by (2x + 1) where f(x) = 3x³ – 7x² + 4x + 11

Find the remainder (without division) on dividing 3x² + 5x – 9 by (3x + 2)

Find ‘a’ if the two polynomials ax³ + 3x² – 9 and 2x³ + 4x + a, leaves the same remainder when divided by x + 3.

When 2x³ – x² – 3x + 5 is divided by 2x + 1, then the remainder is

If x + 1 is a factor of 3x³ + kx² + 7x + 4, then the value of k is

If x³ + 6x² + kx + 6 is exactly divisible by (x + 2), then k = ?

If x⁵¹ + 51 is divided by x + 1, then the remainder is

Check whether p(x) is a multiple of g(x) or not:

p(x) = 2x³ – 11x² – 4x + 5, g(x) = 2x + 1