Date:
Math Test(Grade-9)
Name:
(Polynomials/Quadratic Equations/Factorization)
1) Find the value of m, if x + 2 is a factor of x3 − 4x2 + 3x − 5m.
2) Factorize x6 – y6
3) If f(x) and g(x) are two polynomials of degrees 3 and 4 respectively,
then degree of the polynomial h(x) = f(x) – g(x) is ____
4) The polynomial 5x5 -3x3 +2x2 -k gives a remainder as 1 when divided
by x+1, value of k is ___
5) Factors of a3 + b3 + 3ab -1 is _____ & ____
6) If 3x2 + 8ax + 3 is a perfect square, then value of a ___
7) If 2x+3 is a factor of x2 -3x +k, the value of k is ___
8) If x-3 is a factor of 2x2 -px+5, then the value of p is ___
9) The roots of the quadratic equation x2 – 18x + 81 are ___ and ___
10)
Factors of x4 + x2 + 1 are ____ and ____
11)
If f(x) and g(x) are two polynomials of degrees 2 and 3 respectively,
then degree of the polynomial h(x) = f(x) . g(x) is ____
12)
If a4 + b4 = a2b2, the value of a6 + b6 is ___
13)
Factors of a2 + 1/a2 - 18
14)
Value of (x-y)3 + (y-z)3 + (z-x)3 – 3(x-y)(y-z)(z-x) is ____
15)
If (x + 1/x) = 4, value of (x6 + 1/x6 ) is ___
16)
If -2, -3 are the roots of a quadratic equation f(x) such that, f(1) = 2.
Then f(x) is ____
17)
If x + y + z = 2s, then the value of (s-x)3 + (s-y)3 + 3(s-x)(s-y)z is ____