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zlopas [31]
3 years ago
10

The function f(x) is a cubic function and the zeros of f(x) are -3, -2, and 1. The y-intercept of f(x) is -24. Write the equatio

n of the cubic polynomial in standard form.
Mathematics
1 answer:
Serga [27]3 years ago
7 0

Answer:

f(x) = 4x³+16x²+4x-24

Step-by-step explanation:

Factors are (x+3)(x+2)(x-1)

(x+3)(x²+2x-x-2)

(x+3)(x²+x-2)

x³+x²-2x+3x²+3x-6

x³+4x²+x-6

This could have been the function but the intetcept is 6 here.

So we'll take a miltiple of this one such that the intercept becomes-24

-24/-6 = 4

That multiple is 4

f(x) = 4(x³+4x²+x-6)

f(x) = 4x³+16x²+4x-24

You might be interested in
Here is a list of numbers: <br> 19, 4, -13, -17, -2, -14, 20, 8, 6 <br> State the median.
denis-greek [22]

Answer:

4 is the median to your problem

8 0
3 years ago
Factor completely 5ax2 − 20x3 2a − 8x. (a 4x)(5x2 2) (a 4x)(5x2 − 2) (a − 4x)(5x2 2) (a − 4x)(5x2 − 2).
antiseptic1488 [7]

The complete factor of the polynomial 5ax² − 20x³ + 2a − 8x is (5x² + 2) (y − 4x). Then the correct option is C.

<h3>What is polynomial?</h3>

Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

Factor completely 5ax² − 20x³ + 2a − 8x.

Take 5x² common from the first two terms and 2 from the last two terms. we have

5ax² − 20x³ + 2a − 8x

5x²(a − 4x) + 2 (a − 4x)

Take (a - 4) common, then we have

(5x² + 2) (y − 4x)

The complete factor of the polynomial 5ax² − 20x³ + 2a − 8x is (5x² + 2) (y − 4x). Then the correct option is C.

More about the polynomial link is given below.

brainly.com/question/17822016

8 0
2 years ago
Find the equation of this line. y= [?]x+[?]
DochEvi [55]

Answer:

y=3x-4

Step-by-step explanation:

Hi there!

Slope-intercept form: y=mx+b where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when x=0)

<u>1) Determine the slope (</u><u><em>m</em></u><u>)</u>

m=\displaystyle\frac{y_2-y_1}{x_2-x_1} where two points that fall on the line are (x_1,y_1) and (x_2,y_2)

On the graph, two points are highlighted for us: (0,-4) and (2,2). Plug these into the formula:

m=\displaystyle\frac{2-(-4)}{2-0}\\\\m=\displaystyle\frac{2+4}{2}\\\\m=\displaystyle\frac{6}{2}\\\\m=3

Therefore, the slope of the line is 3. Plug this into y=mx+b:

y=3x+b

<u>2) Determine the y-intercept (</u><u><em>b</em></u><u>)</u>

y=3x+b

Recall that the y-intercept occurs when x=0. Given the point (0,-4), the y-intercept is therefore -4. Plug this into y=3x+b:

y=3x+(-4)\\y=3x-4

I hope this helps!

5 0
2 years ago
What is the domain of this function?
Nata [24]
The domain is the origin of the arrow
domain = {-2,2,3,4}
Option d is the answer
8 0
3 years ago
Read 2 more answers
Which polynomial is factored completely
Ket [755]

Answer: The correct option is c.

Explanation:

Reason for correct option:

3x(9x^2+1)

This expression cannot be factored further because (9x^2+1) is the complete factor. Therefore the option c is correct.

Reason for incorrect option:

5x^2-17x+14=5x^2-10x-7x+14=5x(x-2)-7(x-2)=(x-2)(5x-7)

Since the given expression can be factored further therefore the option d is incorrect.

4(4x^4-1)=4((2x)^2-1)=4(2x^2-1)(2x^2+1)

Since the given expression can be factored further. Therefore the option a is incorrect.

2x(y^3-4y^2+5y)=2xy(y^2-4y+5)

Since the given expression can be factored further. Therefore the option b is incorrect.

4 0
3 years ago
Read 2 more answers
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