Question

Find the zero of the polynomial. 1) p(x) = x²- 9

Need step wise answer please.​

Answer 1

Answer:

x = 3

Step-by-step explanation:

p(x) = x²- 9

0 = x²- 9

9 = x²

3² = x²

.: x = 3

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Answer 2

For finding zeroes of the polynomial we have to factorise it :

x²- 9 can be rewritten as

x²+3x-3x-9

x(x+3)-3(x+3)

(x-3)(x+3)

Compare the factors with zero :

For (x-3)

x-3 = 0

x = 3

For (x+3)

x+3 = 0

x = -3

Hence , -3 and 3 are zeroes of polynomial x²- 9