Advertisements
Advertisements
Question
Divide the first polynomial by the second polynomial and find the remainder using remainder theorem.
(x2 − 7x + 9) ; (x + 1)
Advertisements
Solution
Let p(x) = x2 − 7x + 9
Divisor = x + 1
∴ take x = −1
By remainder theorem,
Remainder = p(−1)
= (−1)2 − 7 × (−1) + 9 =
1 + 7 + 9
= 17
∴ Remainder = 17
APPEARS IN
RELATED QUESTIONS
Find the remainder when x3 + 3x2 + 3x + 1 is divided by `x - 1/2`
Use Remainder theorem to factorize the following polynomial:
`2x^3 + 3x^2 - 9x - 10`
Using the Remainder and Factor Theorem, factorise the following polynomial:
`x^3 + 10x^2 - 37x + 26`
Find the remainder when x3 + 3x2 – 12x + 4 is divided by x – 2.
The polynomials 2x3 – 7x2 + ax – 6 and x3 – 8x2 + (2a + 1)x – 16 leaves the same remainder when divided by x – 2. Find the value of ‘a’.
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 without division, the remainder in the following:
5x3 - 7x2 +3 is divided by (x-1)
Find without division, the remainder in the following :
x3 + 8x2 + 7x- 11 is divisible by (x+4)
If p(x) = 4x3 - 3x2 + 2x - 4 find the remainderwhen p(x) is divided by:
x + 2
Find the remainder (without divisions) on dividing f(x) by x – 2, where f(x) = 5x2 – 1x + 4
Find the remainder (without division) on dividing 3x2 + 5x – 9 by (3x + 2)
What number must be added to 2x3 – 7x2 + 2x so that the resulting polynomial leaves the remainder – 2 when divided by 2x – 3?
Use the Remainder Theorem to factorise the following expression:
2x3 + x2 – 13x + 6
(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 x3 – 3x2 + 5x – 7 is divided by x – 2,then the remainder is
Find the remainder when 2x3 – 3x2 + 4x + 7 is divided by x + 3
Find the remainder when 2x3 – 3x2 + 4x + 7 is divided by 2x + 1
What is the remainder when x2018 + 2018 is divided by x – 1
The polynomial p(x) = x4 – 2x3 + 3x2 – ax + 3a – 7 when divided by x + 1 leaves the remainder 19. Find the values of a. Also find the remainder when p(x) is divided by x + 2.
