Advertisements
Advertisements
Question
Find the remainder (without division) on dividing 3x2 + 5x – 9 by (3x + 2)
Advertisements
Solution
Let 3x + 2 = 0,
then 3x = –2
⇒ x = `(-2)/(3)`
Substituting the value of x in f(x)
f(x) = 3x2 + 5x – 9
= `3(-2/3)^2 + 5(-2/3) -9`
= `3 xx (4)/(9) -5 xx (2)/(3) -9`
= `(4)/(3) - (10)/(3) -9`
= `-(6)/(3) -9`
= –2 – 9
= –11
∴ Remainder = –11.
APPEARS IN
RELATED QUESTIONS
Find the remainder when x3 + 3x2 + 3x + 1 is divided by x + π.
If ( x31 + 31) is divided by (x + 1) then find the remainder.
What number should be subtracted from the polynomial f(x)= 2x3 - 5x2 +8x -17 so that the resulting polynomial is exactly divisible by (2x - 5)?
What number should be added to polynomial f(x)= 12x3 + 16x2 - 5x - 8 so that the resulting polynomial is exactly divisible by (2x - 1) ?
Find the value of p if the division of px3 + 9x2 + 4x - 10 by (x + 3) leaves the remainder 5.
Using remainder theorem, find the remainder on dividing f(x) by (x + 3) where f(x) = 2x2 – 5x + 1
Use the Remainder Theorem to factorise the following expression:
2x3 + x2 – 13x + 6
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
If x51 + 51 is divided by x + 1, the remainder is ______.
By Remainder Theorem find the remainder, when p(x) is divided by g(x), where p(x) = x3 – 3x2 + 4x + 50, g(x) = x – 3
