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3 years ago

What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?

Mathematics

2 answers:

vesna_86 [32]3 years ago

5 0

Answer:

x+2

Step-by-step explanation:

we know that

To find out the factors of a polynomial, determine the x-intercepts or zeros of the polynomial

Remember that

The x-intercepts of a polynomial are the values of x when the value of the polynomial is equal to zero

In this problem

Looking at the graph

For x=-2, f(x)=0

x=-2 is an x-intercept or zero of the polynomial

To find out the factor move the constant to the left side and equate to zero

$x=-2$

adds 2 both sides

$x+2=-2+2\\x+2=0$

therefore

The factor is (x+2)

Lena [83]3 years ago

3 0

Answer:

the answer is C

X+2

Step-by-step explanation:

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3 years ago

What is the solution to the inequality below?

Svetlanka [38]

Answer:

B. x < -8 or x > 8

Step-by-step explanation:

You can use process of elimination to solve this problem by going through every solution and testing them out, but let's jump right to B.

Process:

You know that since the inequality states that x^2 has to be greater than 64, x has to be more than 8, or less than -8.

This is because 8^2 = 64, and -8^2 = 64, and the inequality requires the answer to be more than 64.

Looking at B., you can see that if x is < -8, the square of, for example, -9, would be 81. This is greater than 64, so this works!

Now, B. also has an alternative. The 'or' is a major clue to which is the correct answer, since the square root of any number can be positive or negative. (-8^2 = 8^2)

The 'or' states that x must be greater than 8. So, for example, if we take the square of 10, we get 100, and that is also greater than 64.

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3 years ago

1. MONDAY (5/18): Which of the following functions matches the graph to the right

Strike441 [17]

Answer:

a.) f(x) = -⅙(x+3)²+6

Step-by-step explanation:

The maximum value, our vertex, is at point (-3,6).

We can insert this value into the vertex form of a quadratic function and then solve for a as follows...

$4.5 = a(0 +3)^2 +6\\4.5=a(9)+6\\-1.5 = 9a \\-.17=a\\a = -1/6$

a equals -1/6... We can input this into the original equation we used...

f(x) = -1/6(x+3)^2+6

Good luck on the bellwork ;)

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