Question

5 The quadratic Polynomial whose
Zeroes are -3, 4 i​

Answer 1

Step-by-step explanation:

Find a quadratic polynomial whose zeros are 5 and -5.

Solution

Let $$\alpha = 5$$ and $$\beta = -5$$

Sum of zeros $$= 5-5 = 0$$

Products of zeros $$= 5\times -5 =-25$$

Hence, the quadratic polynomial is $$= k{ x }^{ 2 }+ (\text {sum of zeros)}x + \text {product of zeros}$$

Putting the values in quadratic polynomial $$ =k{ x }^{ 2 }-0+(-25)$$.

Hence, the quadratic polynomial is $${ kx }^{ 2 }- 25$$, where k is constant.