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wolverine [178]
3 years ago
15

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
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maksim [4K]

Answer 10000103984

Step-by-step explanation:

6 0
2 years ago
Find the factors of each number in classify each number as a prime or composite<br> 18,37,48
zepelin [54]

18=1,2,3,9,18

37=1,37

48=1,2,3,16,24,12,4,6,8,48

Prime no. is a number that is divisible only by itself and 1

So, here 37 is a prime no.

18 and 48 are composite no.s

7 0
2 years ago
a painter can finish a house in 5 hours. Her assistant takes 7 hours to finish the same job. How long would it take for them to
mars1129 [50]

Answer:

D

Step-by-step explanation:

Call the first person A who can do the job in 5 hours.

Call the second person B who can do the job in 7 hours.

The formula for this problem is

Time = A*B/(A + B)

Time = 5*7 / (5 + 7)

Time = 35 / 12

Time = 2 hours and 11/12 of an hour.

The answer is D.

3 0
3 years ago
Solve the following system of equations.<br> 2x + 5y = -18 and y = -4x
andriy [413]

Answer:

x=1 and y= -4

Step-by-step explanation:

step one: plug -4x into y in thi]e first equation.

2x+5(-4)= -18

step two: solve for x

2x-20= -18

(add 20 to both sides to eliminate -20 on the right)

2x=2

(divide both sides by 2 to get x by its self)

x=1

step 3: now that we found the value for x plug it in to either equation and solve for y

y= -4x

y= -4(1)

y= -4

7 0
3 years ago
what is the equation of the line that is perpendicular to and has the same y intercept as the given line​
Artist 52 [7]

Answer:

y=5x+1

Step-by-step explanation:

step 1

Find the slope of the given line

we have

(0,1) and (5,0)

m=(0-1)/(5-0)

m=-1/5

step 2

Find the slope of the perpendicular line to the given line

we know that

If two lines are perpendicular, then the product of their slopes is equal to -1

m1*m2=-1

m1=-1/5

substitute

(-1/5)*m2=-1

m2=5

step 3

Find the equation of the line with slope m=5 and y-intercept (0,1)

The equation of the line into slope intercept form is equal to

y=mx+b

we have

m=5

b=1

substitute

y=5x+1

8 0
3 years ago
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