Is it true that x=–5 is a zero of the polynomial $p x = x + 5$ ?

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True

False

answer is A.

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Detailed Solution

The given expressions are x=–5 and

p x = x+5

.
We have to find if x=–5 is a zero of the polynomial

p x = x+5

.
Therefore, in line with the above let us find out the zero of p(x) by equating it to zero.

x+5 = 0 x = − 5

We can also check in the following alternative way.
We put x=–5 in p(x) and find the following.

= p (x) x = − 5 = x + 5 x = − 5 = − 5 + 5 = 0

Thus, we can now conclude that x=–5 is a factor of p(x).
Hence, the given statement is true, x=–5 is a factor of p(x).
Therefore, the correct option is 1.

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