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Nikolay [14]
3 years ago
10

What are the zeros of the polynomial function f(x) = x3 − 2x2 − 24x?

Mathematics
1 answer:
Morgarella [4.7K]3 years ago
4 0

Answer:

x = 0, x = -4, and x = 6

Step-by-step explanation:

To find the zeros of this polynomial, we can begin by factoring out a common factor of each term. 'x' is a common factor. We can distribute this variable out, giving us:

f(x) = x(x²- 2x- 24)

Now, factor the polynomial inside of the parenthesis into its simplest form. Factors of -24 that add up to -2 are -4 and 6.

f(x) = x( x + 4) (x - 6)

From this, we can derive the zeros x = 0, x = -4 and x = 6.

You might be interested in
Find the X intercepts of the equation f(x) = x^2 - 6x + 6
Arturiano [62]

Answer:

x-intercepts = (x ≈ -0.87), (x ≈ 6.87)

Step-by-step explanation:

let x = 0, in equation for x-intercepts

solve for x using the

quadratic formula

x = <u>−6 ± √ 36 + 24 </u>

               2x

= <u>−6 ± √60</u>

         −2x

 = <u>−6 ± 2 √ 15</u>

           −2           = 3 ± √15

8 0
3 years ago
Sam borrows $5700 at 4.5% simple interest for 3 years. Find the interest
kherson [118]

Answer:

The interest is

<h2>$ 769.50</h2>

Step-by-step explanation:

Simple interest is given by

I =   \frac{P \times  R  \times T}{100}

where

P is the principal

R is the rate

T is the time given

From the question

The principal / P = $ 5700

The rate / R = 4.5%

The time given / T = 3 years

So the interest is

I  =  \frac{5700  \times 4.5 \times 3}{100}

I =  \frac{76950}{100}

We have the final answer as

I = $ 769.50

Hope this helps you

3 0
3 years ago
7/4 as a whole number
Ne4ueva [31]
1 1/4?? because 7/4 cant be a whole number its a mixed number when simplified
5 0
3 years ago
MARK AS BRAINLIEST!!
ddd [48]

Answer:

For part A its A. and for part B its C.

Step-by-step explanation:

7 0
3 years ago
Expand and simplify <img src="https://tex.z-dn.net/?f=%20%283x-2%29%5E%7B2%7D%20" id="TexFormula1" title=" (3x-2)^{2} " alt=" (3
Rus_ich [418]
You can just 1) multiply the binomial by itself, or you can use 2) the square of a binomial pattern. I'll show it to you both ways.

1) Multiply the binomial by itself.

(3x - 2)^2 = (3x - 2)(3x - 2) =

Multiply every term of the first binomial by every term of the second binomial, then collect like terms. (This is often called using FOIL.)

= 9x^2 - 6x - 6x + 4

= 9x^2 - 12x + 4

2) Use the square of a binomial pattern

The square of a binomial is

(a - b)^2 = a^2 - 2ab - b^2

a^2 is the square of the first term.
b^2 is the square of the second term.
-2ab is the product of the two terms and 2.

You have

(3x - 2)^2,
where the first term is 3x, and the second term is -2

square the first term: 9x^2
square the last term: 4
the product of the terms and 2 is: -12x

Put it all together, and you get

9x^2 - 12x + 4

just like we got above with the other method.
7 0
3 years ago
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