Advertisements
Advertisements
Question
If (x + 5) and (x – 3) are the factors of ax2 + bx + c, then values of a, b and c are
Options
1, 2, 3
1, 2, 15
1, 2, −15
1, −2, 15
Solution
1, 2, −15
Explanation;
Hint:
(x + 5)(x – 3) = x2 + (5 – 3)x + (5)(−3)
= x2 + 2x – 15
compare with ax2 + bx + c
a = 1, b = 2 and c = −15
APPEARS IN
RELATED QUESTIONS
Write the degrees of the following polynomials:
7
Identify constant, linear, quadratic and cubic polynomials from the following polynomials:
`q(x)=4x+3`
If `f(x) = 2x^2 - 13x^2 + 17x + 12` find f(2)
f(x) = x4 − 3x2 + 4, g(x) = x − 2
Show that (x + 4) , (x − 3) and (x − 7) are factors of x3 − 6x2 − 19x + 84
Find the value k if x − 3 is a factor of k2x3 − kx2 + 3kx − k.
In the following two polynomials, find the value of a, if x − a is factor x6 − ax5 + x4 − ax3 + 3x − a + 2.
What must be added to x3 − 3x2 − 12x + 19 so that the result is exactly divisibly by x2 + x - 6 ?
If x3 + 6x2 + 4x + k is exactly divisible by x + 2, then k =
If x51 + 51 is divided by x + 1, the remainder is
