Advertisements
Advertisements
Question
When 2x3 – 9x2 + 10x – p is divided by (x + 1), the remainder is – 24.Find the value of p.
Advertisements
Solution
Let x + 1 = 0 then x = -1
Substituting the value of x in f(x)
f(x) = 2x3 – 9x2 + 10x – p
f(–1) = 2(–1)3 – 9(–1)2 + 10(–1) – p
= –2 – 9 – 10 – p
= –21 – p
∵ the remainder = –24
∴ –21 – p = –24
⇒ p = –24 + 21
= –3
∴ p = 3.
APPEARS IN
RELATED QUESTIONS
Use Remainder theorem to factorize the following polynomial:
`2x^3 + 3x^2 - 9x - 10`
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 expression 3x3 + 10x2 + x – 6. Hence, solve the equation 3x3 + 10x2 + x – 6 = 0
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)?
Use remainder theorem and find the remainder when the polynomial g(x) = x3 + x2 – 2x + 1 is divided by x – 3.
(x – 2) is a factor of the expression x3 + ax2 + bx + 6. When this expression is divided by (x – 3), it leaves the remainder 3. Find the values of a and b.
When 2x3 – x2 – 3x + 5 is divided by 2x + 1, then the remainder is
If x51 + 51 is divided by x + 1, then the remainder is
For what value of m is x3 – 2mx2 + 16 divisible by x + 2?
If x25 + x24 is divided by (x + 1), the result is ______.
