Let us check the following statements—
The two zeros of the polynomial P(x) = x2 – 9 are 3 and –3.
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) = x2 – 9
And zero of the polynomial P(x) are 3 and -3
Then,
Zero of the polynomial P(x)
Means P(x) = 0
x2 – 9 = 0
x2 – (3)2 = 0
⇒ a2 – b2 = (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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