English Medium कक्षा १० - CBSE Question Bank Solutions

State fundamental theorem of arithmetic?

One zero of the polynomial `3x^3+16x^2 +15x-18 is 2/3` . Find the other zeros of the  polynomial.

If f(x) =`x^3-3x+5x-3` is divided by g(x)=`x^2-2` 

Find all the zeroes of `(2x^4 – 3x^3 – 5x2 + 9x – 3)`, it is being given that two of its zeroes are `sqrt3 and –sqrt3`. 

Obtain all other zeroes of `(x^4 + 4x^3 – 2x^2 – 20x – 15)` if two of its zeroes are `sqrt5 and –sqrt5.` 

Find all the zeroes of polynomial `(2x^4 – 11x^3 + 7x^2 + 13x – 7)`, it being given that two of its zeroes are `(3 + sqrt2) and (3 – sqrt2)`. 

If one zero of the polynomial `x^2-4x+1 is (2+sqrt3)` , write the other zero. 

Find the zeroes of the polynomial `x^2 + x – p(p + 1) ` 

Find the zeroes of the polynomial `x^2 – 3x – m(m + 3)` 

Find ∝ , β are the zeros of polynomial ∝ +β= 6 and ∝β 4 then write the polynomial. 

If 3 is a zero of the polynomial `2x^2 + x + k`, find the value of k.

If one zero of the quadratic polynomial `kx^2 + 3x + k is 2`, then find the value of k.

If -4 is a zero of the polynomial `x^2 – x – (2k + 2) is –4`, then find the value of k. 

If 1is a zero of the quadratic polynomial `ax^2 – 3(a – 1)x – 1`is 1, then find the value of a.   

If -2 is a zero of the polynomial `3x^2 + 4x + 2k` then find the value of k. 

Write the zeros of the polynomial `f(x) = x^2 – x – 6`. 

If the sum of the zeros of the quadratic polynomial `kx^2-3x + 5` is 1 write the value of k..

If the sum of the zeros of the quadratic polynomial `kx^2-3x + 5` is 1 write the value of k.. 

If 𝛼 and 𝛽 be the zeroes of the polynomial `2x^2 - 7x + k` write the value of (𝛼 + 𝛽 + 𝛼𝛽).

Find the sum of the zeros and the product of zeros of a quadratic polynomial, are `−1/2` and \ -3 respectively. Write the polynomial.