Advertisements
Advertisements
Question
Find the remainder (without division) on dividing f(x) by (2x + 1) where f(x) = 3x3 – 7x2 + 4x + 11
Advertisements
Solution
Let 2x + 1 = 0, then x =
Substituting the value of x in f(x):
f(x) = 3x3 – 7x2 + 4x + 11
= `3(-1/2)^3 -7(-1/2)^2 + 4(-1/2) + 11`
= `3(-1/8) -7(1/4) + 4(-1/2) + 11`
= `-(3)/(8) - (7)/(4) - 2 + 11`
= `(-3 - 14 - 16 + 88)/(8)`
= `(55)/(8)`
= `6(7)/(8)`
∴ Remainder = `6(7)/(8)`.
APPEARS IN
RELATED QUESTIONS
Find the remainder when x3 + 3x2 + 3x + 1 is divided by `x - 1/2`
Check whether 7 + 3x is a factor of 3x3 + 7x.
Using the Remainder Theorem, factorise the following completely:
4x3 + 7x2 – 36x – 63
Find without division, the remainder in the following:
5x2 - 9x + 4 is divided by (x - 2)
Find the values of m and n when the polynomial f(x)= x3 - 2x2 + m x +n has a factor (x+2) and leaves a remainder 9 when divided by (x+1).
A polynomial f(x) when divided by (x - 1) leaves a remainder 3 and when divided by (x - 2) leaves a remainder of 1. Show that when its divided by (x - i)(x - 2), the remainder is (-2x + 5).
When divided by x – 3 the polynomials x3 – px2 + x + 6 and 2x3 – x2 – (p + 3)x – 6 leave the same remainder. Find the value of ‘p’.
Find the remainder when 2x3 – 3x2 + 4x + 7 is divided by 2x + 1
Determine which of the following polynomials has x – 2 a factor:
4x2 + x – 2
If x25 + x24 is divided by (x + 1), the result is ______.
