Q19 of 113 Page 61

Write the zeros of the quadratic polynomial f(X) = 6x² ‒ 3.

We know that,

To find the zeros of the quadratic polynomial we have to equate the f (x) to 0

∴ f (x) = 0

6x² – 3 = 0

3 (2x² – 1) = 0

2x² – 1 = 0

2x² = 1

x² = 1/2

x = � 1/√2

Hence, the zeros of the quadratic polynomial f (x) are 1/√2 and -1/√2

State division algorithm for polynomials.

The sum of the zeros and the product of zeros of a quadratic polynomial are -1/2 and ‒3 respectively. Write the polynomial.

Write the zeros of the quadratic polynomial f(x) = 4√3x² + 5x ‒ 2√3.

If α and β are the zeros of the polynomial f(x) = x² ‒ 5x + k such that α ‒ β = 1, find the value of k.

Write the zeros of the quadratic polynomial f(X) = 6x2 ‒ 3.