Q9 of 113 Page 50

Find the zeros of the following quadratic polynomials and verify the relationship between the zeros and the coefficients:
x² – 5

Let f(x) = x² – 5

Put f(x) = 0

x² – 5 = 0

(x – √5) (x + √5) = 0

∴ x = √5 or x = -√5

Now, sum of zeroes

Product of zeroes

Hence, relationship verified.

Find the zeros of the following quadratic polynomials and verify the relationship between the zeros and the coefficients:

2x² – 11x + 15

Find the zeros of the following quadratic polynomials and verify the relationship between the zeros and the coefficients:

4x² – 4x + 1

Find the zeros of the following quadratic polynomials and verify the relationship between the zeros and the coefficients:

8x² – 4

Find the zeros of the following quadratic polynomials and verify the relationship between the zeros and the coefficients:

5y² + 10y

Find the zeros of the following quadratic polynomials and verify the relationship between the zeros and the coefficients:x2 – 5