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

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

Factorize y^2+6y+8 by using the method of completing the square.

Solve the quadratic equation 9x^2-15 x+6=0 by the method of completing the square.

Find the roots of the following quadratic equations, if they exist, by the method of completing the square: 2x^2 +x-4=0

Solve the equation given in Example 3 by the method of completing the square.

Solved the following equation by the method of completing the square : 4sqrt3x^(2)+5x-2sqrt3=0

Find the roots of the following quadratic equations by the method of completing the square : (i) x^(2)-10-24=0 (ii) 2x^(2)-7x-39=0 (iii) 5x^(2)+6x-8=0

Factorize each of the quadratic polynomials: x^2+5x-36