Question

Find the quadratic polynomials whose zeros are 2 and -3

Answer 1

x² + x - 6 is the polynomial whose zeroes are 2 and -3.

Given:

zero of a quadratic polynomial are 2,-3

To Find:

Polynomial having zeroes 2 and -3

Solution:

A polynomial with zeros α and β is given by

k(x-α)(x-β)

where k≠ 0

Step 1:

Substitute α = 2 and β=-3  in k(x-α)(x-β)

k(x -2)(x - (-3))

Step 2:

Multiply and simplify

k(x - 2)(x + 3)

= k (x² - 2x + 3x - 6)

= k(x² + x - 6)

Step 3:

Use k=1  

1(x² + x - 6)

= x² + x - 6

x² + x - 6 is the polynomial whose zeroes are 2 and -3.

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Answer 2

Answer:

here you go

Step-by-step explanation:

hope it helps..