English Medium Class 9 - CBSE Question Bank Solutions

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

Prove that in a quadrilateral the sum of all the sides is greater than the sum of its diagonals.

The number obtained on rationalising the denominator of `1/(sqrt(7) - 2)` is ______.

`1/(sqrt(9) - sqrt(8))` is equal to ______.

After rationalising the denominator of `7/(3sqrt(3) - 2sqrt(2))`, we get the denominator as ______.

The value of `(sqrt(32) + sqrt(48))/(sqrt(8) + sqrt(12))` is equal to ______.

`root(4)root(3)(2^2)` equals to ______.

Value of `root(4)((81)^-2)` is ______.

Value of (256)^0.16 × (256)^0.09 is ______.