Advertisements
Advertisements
Question
Check whether p(x) is a multiple of g(x) or not:
p(x) = x3 – 5x2 + 4x – 3, g(x) = x – 2
Advertisements
Solution
According to the question,
g(x) = x – 2,
Then, zero of g(x),
g(x) = 0
x – 2 = 0
x = 2
Therefore, zero of g(x) = 2
So, substituting the value of x in p(x), we get,
p(2) = (2)3 – 5(2)2 + 4(2) – 3
= 8 – 20 + 8 – 3
= –7 ≠ 0
Hence, p(x) is not the multiple of g(x), the remainder ≠ 0.
APPEARS IN
RELATED QUESTIONS
Find the remainder when x3 + 3x2 + 3x + 1 is divided by x + π.
Find the remainder when x3 + 3x2 + 3x + 1 is divided by 5 + 2x.
Use Remainder theorem to factorize the following polynomial:
`2x^3 + 3x^2 - 9x - 10`
Find 'a' if the two polynomials ax3 + 3x2 – 9 and 2x3 + 4x + a, leaves the same remainder when divided by x + 3.
Using the Remainder Theorem, factorise each of the following completely.
3x3 + 2x2 − 19x + 6
Divide the first polynomial by the second polynomial and find the remainder using remainder theorem.
(2x3 − 2x2 + ax − a) ; (x − a)
Find without division, the remainder in the following:
5x3 - 7x2 +3 is divided by (x-1)
Find the value of p if the division of px3 + 9x2 + 4x - 10 by (x + 3) leaves the remainder 5.
If p(x) = 4x3 - 3x2 + 2x - 4 find the remainderwhen p(x) is divided by:
x - 4
If x + 1 is a factor of 3x3 + kx2 + 7x + 4, then the value of k is
