Polynomials , Ex - 2.1 , Complete , Ncert

Factorize each of the following quadratic polynomials by using the method of completing the square: (1) x^2+12 x+20 (2) a^2-14 a-51

Factorize each of the following quadratic polynomials by using the method of completing the square: (1) p^2+6p+8 (2) q^2-10 q+21 (3) p^2+6p-16

Factorize each of the following quadratic polynomials by using the method of completing the square: (1) y^2-7y+12 (2) z^2-4z-12

Divide the polynomial g(x) = x^3 - 3x^2 + x + 2 by the polynomial x^2 - 2x + 1 and verify the division algorithm.

Divide the polynomial g(x) = x^3 - 3x^2 + x + 2 by the polynomial x^2 - 2x + 1 and verify the division algorithm.

Divide the polynomial g(x) = x^3 - 3x^2 + x + 2 by the polynomial x^2 - 2x + 1 and verify the division algorithm.

The polynomial px^(3)+4x^(2)-3x+q completely divisible by x^2-1: find the values of p and q. Also for these values of p and q factorize the given polynomial completely.

Factorize the following quadratic polynomial by using the method of completing the square. a^2−14a−51.