Question

show that x=-1 is a zero of the polynomial p(x) = xsquar cube +5x+4​

Answer 1

Question :

To show that x = -1 is a zero of the polynomial p(x) = x² + 5x + 4

Given :

• p(x) = x² + 5x + 4

• x = -1

Solution :

$p(x) = x^2 + 5x + 4\\\\\textsf{Substitute the value of x in given polynomial}\\\\x=-1\\\\p(-1) = (-1)^2 + 5(-1) + 4\\\\(-1)^2=-1\times-1=1\\\\p(-1) =1 \ + \ (- 5)+4\\\\p(-1) =5+(-5)\\\\p(-1) =5-5\\\\p(-1)=0$

Answer :

-1 is a zero of the polynomial x² + 5x + 4

Therefore, hence showed.

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