English Medium Class 10 - CBSE Question Bank Solutions for Mathematics

If f(x) = `x^4– 5x + 6" is divided by g(x) "= 2 – x2` 

By actual division, show that x2 – 3 is a factor of` 2x^4 + 3x^3 – 2x^2 – 9x – 12.` 

On dividing `3x^3 + x^2 + 2x + 5` is divided by a polynomial g(x), the quotient and remainder are (3x – 5) and (9x + 10) respectively. Find g(x). 

If 1 and –2 are two zeroes of the polynomial `(x^3 – 4x^2 – 7x + 10)`, find its third zero.

If 3 and –3 are two zeroes of the polynomial `(x^4 + x^3 – 11x^2 – 9x + 18)`, find all the zeroes of the given polynomial.  

If 2 and -2 are two zeroes of the polynomial `(x^4 + x^3 – 34x^2 – 4x + 120)`, find all the zeroes of the given polynomial. 

Find all the zeroes of `(x^4 + x^3 – 23x^2 – 3x + 60)`, if it is given that two of its zeroes are `sqrt3 and –sqrt3`. 

If 𝛼, 𝛽 are the zeroes of the polynomial `f(x) = 5x^2 -7x + 1` then `1/∝+1/β=?` 

If 𝛼, 𝛽 are the zeroes of the polynomial f(x) = x2 + x – 2, then `(∝/β-∝/β)` 

Which term of AP 72,68,64,60,… is 0?

Which term of the AP ` 5/6 , 1 , 1 1/6 , 1 1/3` , ................ is 3 ?

Which term of the AP 21, 18, 15, …… is -81?

Which term of the AP 3,8, 13,18,…. Will be 55 more than its 20^th term?

If the 10^th  term of an AP is 52 and 1^7th  term is 20 more than its 13^th  term, find the AP

Find the middle term of the AP 6, 13, 20, …., 216.

Find the middle term of the AP 10, 7, 4, ……., (-62).

Find the sum of two middle most terms of the AP `-4/3, -1 (-2)/3,..., 4 1/3.`

Find the 8^th  term from the end of the AP 7, 10, 13, ……, 184.

Find the 6^th  term form the end of the AP 17, 14, 11, ……, (-40).

Is 184 a term of the AP 3, 7, 11, 15, ….?