Question

find the zeroes of p²-21.​

Answer 1

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p²-21=0

p²=21

$p = + \sqrt{21} \: and \: - \sqrt{21}$

Answer 2

Step-by-step explanation:

Given :-

p²-21

To find :-

Find the zeroes of p²-21?

Solution :-

Given quadratic polynomial is p²-21

Let f(p) = p²-21

It can be written as

=> f(p) = p²-(√21)²

=> f(p) = (p+√21)(p-√21)

Since (a+b)(a-b) = a²-b²

Where , a = p and b = √21

To get zeroes we write f(p) = 0

=> f(p) = (p+√21)(p-√21) = 0

=> (p+√21) = 0 or (p-√21) = 0

=> p = -√21 or p = √21

The zeroes are √21 and -√21

Answer:-

The zeroes of p²-21 are √21 and -√21

Used formulae:-

» (a+b)(a-b) = a²-b²

Points to know :-

→ A quadratic polynomial has at most two zeroes since it's degree is 2.

→ To get zeroes we equate the polynomial to zero.

→The standard form of a quadratic polynomial is ax²+bx+c .

→The graph of a quadratic polynomial is 'parabola' .