Advertisements
Advertisements
Question
Mark the correct alternative in each of the following:
If x − 2 is a factor of x2 + 3ax − 2a, then a =
Options
2
-2
1
-1
Advertisements
Solution
As (x -2)is a factor of `f(x) = x^2 +3ax - 2a`
i.e. f(2) = 0
`(2)^2 +3a (2) -2a = 0`
`4 +6a -2a = 0`
` = -1`
APPEARS IN
RELATED QUESTIONS
Identify constant, linear, quadratic and cubic polynomials from the following polynomials:
`r(x)=3x^2+4x^2+5x-7`
Show that (x + 4) , (x − 3) and (x − 7) are factors of x3 − 6x2 − 19x + 84
Find the value of a, if x + 2 is a factor of 4x4 + 2x3 − 3x2 + 8x + 5a.
Using factor theorem, factorize each of the following polynomials:
x3 + 6x2 + 11x + 6
x3 − 23x2 + 142x − 120
If x − 3 is a factor of x2 − ax − 15, then a =
Factorise the following:
a2 + 10a – 600
Factorise the following:
(a + b)2 + 9(a + b) + 18
(x + y)(x2 – xy + y2) is equal to
If x + 2a is a factor of x5 – 4a2x3 + 2x + 2a + 3, find a.
