Question

Find the zeros of the polynomial p^2-30

Answer 1

p²-30=0... given

p²=30
p=
$\sqrt{30 }$
p=√30

Answer 2

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♦ POLYNOMIAL ZEROES ♦

    ◘   F( p ) = ( p² - 30 )

→ Recall : F( k ) is the remainder when F( p ) is divided by ( x - k )
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=> F( p ) = p² - 30

• Let p' be a zero 

=> F( p' ) = p'² - 30 = 0
=>  ( p'² -  30 ) = 0
=>  ( p' + √30 )( p' - √30) = 0

=> p' = ± ( √30 )
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^_^ Hence, the only real zeroes are : "√30" , " -√30"