Q. 3 D5.0( 3 Votes )

# Let us check the following statements—

The two zeros of the polynomial P(x) = x^{2} – 9 are 3 and –3.

Answer :

Formula used/Theory.

There is some value of ‘x’ for which the P(x) comes to 0, that value of ‘x’ is said to be zero of polynomial P(x)

We have,

P(x) = x^{2} – 9

And zero of the polynomial P(x) are 3 and -3

Then,

Zero of the polynomial P(x)

Means P(x) = 0

x^{2} – 9 = 0

x^{2} – (3)^{2} = 0

⇒ a^{2} – b^{2} = (a+b)(a-b)

(x – 3)(x+3) = 0

x – 3 = 0 and x+3 = 0

x = 3 and x = -3

∴ Zero of polynomial P(x) is 3 and -3

Conclusion.

Hence, the statement is True

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