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Ronch [10]
2 years ago
7

What are the zeros of the polynomial function

Mathematics
1 answer:
solniwko [45]2 years ago
3 0

Option B

The zeros of the polynomial function are x = 0 , x = 6, x = -1

<em><u>Solution:</u></em>

Given function is:

f(x) = x^3 -5x^2 - 6x

<em><u>To find: zeros of the polynomial function</u></em>

To find the zeros of polynomial function, set the function equal to zero and then solve for x.

x^3 -5x^2 - 6x = 0

Taking "x" as common term, we get

x(x^2 - 5x - 6) = 0

Equating to zero,

x = 0 \text{ and } x^2 - 5x - 6 = 0

So one of the zeros of polynomial is x = 0

Let us solve x^2 - 5x - 6 = 0 to find other zeros

<em><u>Let us solve using quadratic formula,</u></em>

\text {For a quadratic equation } a x^{2}+b x+c=0, \text { where } a \neq 0\\\\x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

Using the above formula,

\text{ for } x^2 - 5x - 6 = 0 \text{ we have } a = 1 ; b = -5 ; c = -6

\text{ The discriminant } b^2 - 4ac > 0 , \text{ so, there are two real roots }

Substituting the values of a, b, c in above formula,

x=\frac{-(-5) \pm \sqrt{(-5)^{2}-4(1)(-6)}}{2(1)}\\\\x=\frac{5 \pm \sqrt{25+24}}{2}=\frac{5 \pm \sqrt{49}}{2}\\\\x=\frac{5 \pm 7}{2}\\\\x=\frac{5+7}{2} \text{ or } x=\frac{5-7}{2}\\\\x=\frac{12}{2} \text{ or } x=\frac{-2}{2}\\\\x=6 \text{ or } x=-1

Thus the zeros of the polynomial function are x = 0 , x = 6, x = -1

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Step-by-step explanation:

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3 years ago
There are 92,746 seats available for fans at UGA's Sanford Stadium. Auburn University's Jordan-Hare Stadium has seating for 87,4
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Given :

Number of seats at UGA's Sanford Stadium, n_1 = 92,746 .

Number of seats at Auburn University's Jordan-Hare Stadium, n_2=87,451 .

To Find :

How many more seats are there at UGA's stadium.

Solution :

Extra seats at UGA's stadium = seats at UGA's Sanford Stadium - seats at    

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4 0
2 years ago
PLEASE HELP THIS IS URGENT
Lisa [10]
X= 1, x = 5

-3|x - 3| = -6
———— —– divide both sides by -3
-3 -3 and remove the bars

x - 3 = 2
+3 +3
—————
x = 5⭐️

-3|1-3|➡️-3|-2|= -6
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You deposit $1200 in an account. The annual interest rate is 3%. How long will it take you to earn $108 in simple interest?
Kruka [31]

Answer:

<em>Interest = $3,888</em>

Step-by-step explanation:

Formula:

I = prt or I = p · r · t

what it stands for:

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R = interest rate (in years)(3% into decimal which would be .03)

T = amount of time (in years)($108)

so:

I = prt

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I = $3,888

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5 0
2 years ago
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