Advertisements
Advertisements
Question
If x + 2 is a factor of x2 + mx + 14, then m =
Options
7
2
9
14
Solution
As (x+2)is a factor of f(x) =x^2 +mx + 14
Therefore, f(-2) =0
`(-2)^2 +m(-2)+14 = 0`
`4-2m + 14 = 0`
`m = 9`
APPEARS IN
RELATED QUESTIONS
Give one example each of a binomial of degree 35, and of a monomial of degree 100.
If x = 0 and x = −1 are the roots of the polynomial f(x) =2x3 − 3x2 + ax + b, find the value of a and b.
f(x) = x3 − 6x2 + 2x − 4, g(x) = 1 − 2x
Find the remainder when x3 + 3x2 + 3x + 1 is divided by x + 1.
In the following two polynomials, find the value of a, if x − a is factor (x5 − a2x3 + 2x + a + 1).
If both x + 1 and x − 1 are factors of ax3 + x2 − 2x + b, find the values of a and b.
What must be added to 3x3 + x2 − 22x + 9 so that the result is exactly divisible by 3x2 + 7x − 6?
Factorise the following:
2a2 + 9a + 10
Factorise the following:
`sqrt(5)"a"^2 + 2"a" - 3sqrt(5)`
Factorise the following:
8m3 – 2m2n – 15mn2
