All categories

3 years ago

Find all roots of the polynomial function f(x) = 2x^4-x^3-13x^2+5x+15

Mathematics

2 answers:

Simora [160]3 years ago

7 0

Answer:

Roots are : 1, -7 and -7

Step-by-step explanation:

When we put x = -1 in F(x) it is equal to 0

Thus, (x + 1) is factor of given function.

When we divide F(x) by (x + 1) it gives the value (x² - 6x - 7)

factorizing the work x² - 6x - 7 by middle term splitting.

> x² - 6x - 7 = x² - 7x + x - 7

> x(x - 7) + 1(x - 7)

> (x + 1) (x - 7)

then, x³ - 5x² - 13x - 7 = (x + 1)(x + 1)(x - 7)

x = -1, -1, 7 the factor.

D and C is the answers.

Step-by-step explanation:

sweet [91]3 years ago

3 0

1 -7 7

Hope this helps you out

You might be interested in

A broken faucet leaks 1 gallon of water every 1 and1/3 months the amount of months that pass m varies directly with the amount o

Simora [160]

$\bf \qquad \qquad \textit{direct proportional variation}\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------\\\\$

$\bf \textit{\underline{m} varies directly with the amount of gallons}\implies \stackrel{months}{m}=k\stackrel{gallons}{g}
\\\\\\
\textit{we also know that }
\begin{cases}
m=1\frac{1}{3}\\
\qquad \frac{4}{3}\\
g=1
\end{cases}\implies \cfrac{4}{3}=k1\implies \cfrac{4}{3}=k
\\\\\\
\boxed{m=\cfrac{4}{3}g}\\\\
-------------------------------\\\\
\textit{what's \underline{m} when g=7?}\qquad m=\cfrac{4}{3}\cdot 7\implies m=\cfrac{28}{3}\implies m=9\frac{1}{3}$

6 0

3 years ago

67 times a number minus 65 is equal to -4 less than the number

sashaice [31]

Answer:

Translation is 67x-65=x-4, you can use any variable for the number.

Step-by-step explanation:

7 0

2 years ago

Can someone help plsssss !!!!

nevsk [136]

The area of the circle is 3.14 square millimeters

<h3>Calculating Area</h3>

From the question, we are to the area of the circle

The area of a circle can be determined by using the formula,

A = πr²

Where A is the area of the circle

and r is the radius of the circle

From the given information,

r = 1 mm

and π = 3.14

Putting the parameters into the equation, we get

A = 3.14 × 1²

A = 3.14 × 1

A = 3.14 mm²

Hence, the area of the circle is 3.14 square millimeters

Learn more on Calculating Area here: brainly.com/question/15673093

#SPJ1

3 0

1 year ago

Please simplify the answer!

frutty [35]

Answer:

y = 9

Step-by-step explanation:

Given

4 + $\frac{y}{3}$ = 7

Isolate the term in y by subtracting 4 from both sides

$\frac{y}{3}$ = 3 ( multiply both sides by 3 )

y = 3 × 3 = 9

7 0

3 years ago

Mary and Kyle together sold 225 candy bars for a fund raiser. Kyle sold twice as many candy bars as Mary.

NARA [144]

Answer:

Mary has 76.5, and Kyle has 178.5.

5 0

2 years ago

Read 2 more answers