Q2 of 113 Page 50

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

x2 + 2x – 8

Let f(x) = x2 + 2x - 8

Put f(x) = 0


x2 + 2x - 8 = 0


x2 + 2x - 4x - 12 = 0


x(x + 2) – 4 (x + 2) = 0


(2 + x) (x - 4) = 0


∴ x = 4 or x = -2


Now, sum of zeroes = -2 + 4 = 2 =


Product of zeroes = (4) × (-2)


Hence, relationship verified.


More from this chapter

All 113 →
1

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

x2 + 7x + 12

 3

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

x2 + 3x – 10

 4

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

4x2 – 4x – 3

 5

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

5x2 – 4 – 8x