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
Use the Remainder Theorem to factorise the following expression:]
`2x^3 + x^2 - 13x + 6`
Use the Remainder Theorem to find which of the following is a factor of 2x3 + 3x2 – 5x – 6.
x + 2
Using the Remainder Theorem, factorise the following completely:
3x3 + 2x2 – 23x – 30
If the polynomial y3 − 5y2 + 7y + m is divided by y + 2 and the remainder is 50 then find the value of m.
Find without division, the remainder in the following:
8x2 - 2x + 1 is divided by (2x+ 1)
Find the remainder (without divisions) on dividing f(x) by x – 2, where f(x) = 2x3 – 7x2 + 3
When a polynomial f(x) is divided by (x – 1), the remainder is 5 and when it is,, divided by (x – 2), the remainder is 7. Find – the remainder when it is divided by (x – 1) (x – 2).
Check whether p(x) is a multiple of g(x) or not
p(x) = x3 – 5x2 + 4x – 3, g(x) = x – 2
For what value of m is x3 – 2mx2 + 16 divisible by x + 2?
4x2 – kx + 5 leaves a remainder 2 when divided by x – 1. The value of k is ______.
