Question

Given h is a polynomial function and h(-3)=0, h(2)=0, h(0)=3, and h(4)=0, which statement is FALSE? *
5 points
-3 is a zero of the function.
3 is a zero of the function.
The degree of h is at least 3.
3 is a y-intercept.

Answer 1

Answer:

Option B: 3 is a zero of the function.

Step-by-step explanation:

A zero of a function is the input number which makes the function equal to zero.

From the question, the polynomial is h, thus the zeros will be the input values that will make h = 0.

We are given; h(-3)=0, h(2)=0, h(0)=3, and h(4)=0.

Thus;

-3, 2 and 4 are zeros

Now, a y-intercept occurs when the input x value is 0. We are given h(0)=3. Thus, 3 is a y-intercept

We are given 3 zeros of the polynomial h. Thus, the polynomial has at least 3 roots and therefore it's at least a polynomial of degree 3.

Thus,the false statement is that 3: is a zero of the function.

Answer 2

The false statement about the polynomial function is (b) 3 is a zero of the function

The given parameters are:

$h(-3) = 0$

$h(2) = 0$

$h(0) = 3$

$h(4) = 0$

The above points mean that:

• -3, 2 and 4 are zeros of the function
• Also, the y-intercept of the function is 3, because it passes through the point x = 0.
• The zeros of the function represent the degree of the function; so, the degree is at least 3.

Hence, the false statement is (b) 3 is a zero of the function

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