Advertisements
Advertisements
рдкреНрд░рд╢реНрди
Use Remainder theorem to factorize the following polynomial:
`2x^3 + 3x^2 - 9x - 10`
Advertisements
рдЙрддреНрддрд░
Let P(x) = `2x^3 + 3x^2 - 9x - 10`
P(2) = 16 + 12 - 18 - 10
P(2) = 0
So (x - 2) is a factor
Let us divide P(x) with (x-2), we get
`(x- 2)(2x^2 + 7x + 5)`
This can be further factored to
`(x-2)(2x^2 + 5x + 2x + 5)` ……… (Split 7x into two terms, whose sum is 7x and product is10ЁЭСе2)
`(x - 2) (2x^2 + 5x + 2x + 5)`
`(x - 2))(x(2x+5)+1(2x+5))`
(x - 2)(2x + 5)(x + 1)
APPEARS IN
рд╕рдВрдмрдВрдзрд┐рдд рдкреНрд░рд╢реНтАНрди
Use the Remainder Theorem to find which of the following is a factor of 2x3 + 3x2 – 5x – 6.
x + 2
When x3 + 3x2 – mx + 4 is divided by x – 2, the remainder is m + 3. Find the value of m.
Using the remainder theorem, find the remainders obtained when x3 + (kx + 8 )x + k is divided by x + 1 and x − 2.
Hence, find k if the sum of the two remainders is 1.
Divide the first polynomial by the second polynomial and find the remainder using remainder theorem.
(x2 − 7x + 9) ; (x + 1)
If ( x31 + 31) is divided by (x + 1) then find the remainder.
If p(x) = 4x3 - 3x2 + 2x - 4 find the remainderwhen p(x) is divided by:
x + `(1)/(2)`.
When 2x3 – 9x2 + 10x – p is divided by (x + 1), the remainder is – 24.Find the value of p.
Find the remainder when 3x3 – 4x2 + 7x – 5 is divided by (x + 3)
Check whether p(x) is a multiple of g(x) or not:
p(x) = 2x3 – 11x2 – 4x + 5, g(x) = 2x + 1
Determine which of the following polynomials has x – 2 a factor:
4x2 + x – 2
