Question

which of the following is the zero of the polynomial p(X)= (X+5) (x-2)
(a). 5
(b). -2
(c). -5
(d). 0​

Answer 1

Answer:

(c) -5

Step-by-step explanation:

p(-5)=(-5+5)(-5-2)

(0)(-10)

p(-5)=(0)

So -5 is the Answer.

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Answer 2

Step-by-step explanation:

$p(5) = (5 + 5)(5 - 2) = 0 \\ = 10(3) = 30≠0$

$p( - 2) = ( - 2 + 5)( - 2 - 2) \\ = 3( - 4) = - 12≠0$

$p( - 5) = ( - 5 + 5)( - 5 - 2) \\ 0( - 7) = 0$

$p(0) = (0 + 5)(0 - 2) \\ 5( - 2) = - 10≠0$

hence. p(-5) is the zero of the given polynomial

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