English Medium इयत्ता ९ - CBSE Question Bank Solutions for Mathematics

Mark the correct alternative in each of the following:
If x − 2 is a factor of x² + 3ax − 2a, then a =

If x³ + 6x² + 4x + k is exactly divisible by x + 2, then k =

If x − a is a factor of x³ −3x²a + 2a²x + b, then the value of b is

If x¹⁴⁰ + 2x¹⁵¹ + k is divisible by x + 1, then the value of k is

If x + 2 is a factor of x² + mx + 14, then m =

If x − 3 is a factor of x² − ax − 15, then a =

If x⁵¹ + 51 is divided by x + 1, the remainder is

If x + 1 is a factor of the polynomial 2x² + kx, then k =

If x + a is a factor of x⁴ − a²x² + 3x − 6a, then a =

The value of k for which x − 1 is a factor of 4x³ + 3x² − 4x + k, is

If x + 2  and x − 1 are the factors of x³ + 10x² + mx + n, then the values of m and n are respectively

Let f(x)  be a polynomial such that \[f\left( - \frac{1}{2} \right)\] = 0, then a factor of f(x) is

When x³ − 2x² + ax − b is divided by x² − 2x − 3, the remainder is x − 6. The values of a and b are respectively

One factor of x⁴ + x² − 20 is x² + 5. The other factor is

If (x − 1) is a factor of polynomial f(x) but not of g(x) , then it must be a factor of

(x+1) is a factor of xⁿ + 1 only if

If x² + x + 1 is a factor of the polynomial 3x³ + 8x² + 8x + 3 + 5k, then the value of k is

If (3x − 1)⁷  = a₇x⁷ + a₆x⁶ + a₅x⁵ +...+ a₁x + a₀, then a₇ + a₅ + ...+a₁ + a₀ =

If both x − 2 and \[x - \frac{1}{2}\] are factors of px² + 5x + r, then

If x² − 1 is a factor of ax⁴ + bx³ + cx² + dx + e, then