English Medium Class 10 - CBSE Question Bank Solutions

If x⁴ + 3x² + 7 is divided by 3x + 5, then the possible degrees of quotient and remainder are ______.

If one of the zeroes of the cubic polynomial x³ + px² + qx + r is -1, then the product of the other two zeroes is ______.

If p(x) is a polynomial of at least degree one and p(k) = 0, then k is known as ______.

If one of the zeroes of the quadratic polynomial (k -1)x² + kx + 1 the value of k is ______.

A polynomial of degree n has ______.

Consider the following statements.

1. x – 2 is a factor of x³ – 3x² + 4x – 4.
2. x + 1 is a factor of 2x³ + 4x + 6.
3. x – 1 is a factor of x⁵ + x⁴ – x³ + x² -x + 1.

In these statements

If f(x) = 5x - 10 is divided by x – `sqrt2`, then the remainder will be ______.

If 4x² – 6x – m is divisible by x – 3, the value of m is exact divisor of ______.

The number of polynomials having zeroes as -2 and 5 is ______.

The sum of the first 15 multiples of 8 is ______.

First four terms of the sequence a_n = 2n + 3 are ______.

If the sum of first n terms of an AP is An + Bn² where A and B are constants. The common difference of AP will be ______.

The sum of the first 2n terms of the AP: 2, 5, 8, …. is equal to sum of the first n terms of the AP: 57, 59, 61, … then n is equal to ______.

If the sum of the first m terms of an AP is n and the sum of its n terms is m, then the sum of its (m + n) terms will be ______.

The sum of first ten natural number is ______.

The sum of first n terms of the series a, 3a, 5a, …….. is ______.

The famous mathematician associated with finding the sum of the first 100 natural numbers is ______.

The sum of first 16 terms of the AP: 10, 6, 2, ... is ______.

The middle most term(s) of the AP: -11, -7, -3,.... 49 is ______.

In an AP if a = 1, a_n = 20 and S_n = 399, then n is ______.