Question

The polynomial function below could have a zero at
P(x)=2x^3+3x^2+4

Answer 1

help please

Answer 2

First we need to factor the given polynomial. Have you done that?

Answer 3

no i dont know how

Answer 4

Step 1 is to determine a rational value x = a, such that P(a) = 0. In other words, what value of x makes the polynomial zero?

Answer 5

We always try factors the constant over the factors of the leading coefficient.

Answer 6

i dont understand..

Answer 7

For\[P(x) = 2x ^{3}+3x ^{2}+4\]the constant is 4 and the leading coefficient is 2. Thus wha t are all the factors of 4 and 2?

Answer 8

OK Factor theorem states that if f(a) = 0 then x = a is a factor of the polynomial f(x). Have you learned that?

Answer 9

So first, factors of 4 are 1, 2, and 4. Factors of 2 are 1, and 2. We must try both positive and negative. Since the given polynomial has only positive terms, we can only try negative values. thus we'll try -1, -2, -4, and -1/2.

Answer 10

Tell me what P(-2) equals, for example?

Answer 11

Perhaps you're not at the level I assumed. What grade are you in? So that I can help you accordingly.