Question

for an unknown polynomial function p(x),p(2)+4=4, which binomial is a factor of p(x)?

Answer 1

Answer:i think it is 0

Step-by-step explanation:

Answer 2

You can use the fact that if (x-root) is a factor of a single variable polynomial function p(x) = 0

A binomial factor of p(x) is (x-2)

How to get factor of a single variable polynomial function if we know its one of the roots?
Suppose the polynomial function be p(x)

Let its root be x = k

Then we have one of the factor of polynomial as (x-k)

What is a root of a single variable polynomial function p(x) ?

Root of a polynomial function p(x) is a value of x such that putting that value in place of x makes the output 0.

Thus, if x = k is a root of the polynomial p(x), then

p(k) = 0

How to get a factor of the considered polynomial function?

Since it is given that

p(2) + 4=4

thus,

p(2) = 4-4 = 0

Thus, x = 2 is a root of the polynomial function, and thus, using the aforesaid conclusions, we have (x-2) as one of the factors of the considered polynomial function.

Thus,

A binomial factor of p(x) is (x-2)

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