Question

if for polynomial p(x), p(-3)=0,then write a factor of polynomial p(x)

Answer 1

Answer:

Step-by-step explanation:

p(- 3) = 0, then x - (- 3) = x + 3 is a factor of p(x).

Answer 2

x + 3 is a factor of polynomial p(x)

Solution:

By factor theorem,

The polynomial x - k is a factor of the polynomial f(x) if and only if f(k) = 0

Given that,

For polynomial p(x), p(-3) = 0

p( -3 ) = 0

Here,

k = -3

Then,

x - k is a factor

x - (-3) = x + 3

Thus, x + 3 is a factor of polynomial p(x)

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