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2 years ago

Given that f(x)=5x^3+ax^2-4x-2 and that (x-1) is a factor of f(x), find a.

Mathematics

1 answer:

stepladder [879]2 years ago

5 0

Answer:

a=1

Step-by-step explanation:

Because x-1 is factor of f(x)

for x1=1, f(1)=0, then

f(1)=5*1^3+a*1^2-4*1-2=0

5*1+a*1-4-2=0

5+a-6=0

a-1=0

a=1

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Intergrate secx(secx+tanx) dx

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2 years ago

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AveGali [126]

Answer:

X=5

Step-by-step explanation:

f(1)= -1^2+4(1)+12=15

f(2)= -2^2+4(2)+12=16

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1 year ago

Read 2 more answers

-2x+5c+6c-3x= Simplify and write the answer.

Irina18 [472]

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3 years ago

Read 2 more answers

Caspar bought 8 more jelly donuts than chocolate donuts. He bought 5 times as many jelly donuts as chocolate donuts. How many ch

TiliK225 [7]

Answer:

10 chocolate donuts were bought.

Step-by-step explanation:

Given data:

Caspar bought 8 more jelly donuts than chocolate donuts.

He bought 5 times as many jelly donuts as chocolate donuts.

In order for us to answer the we need to make equation from the statements given

Let jelly donuts be denoted by X

Let chocolate donuts be denoted by Y

From this statement 'Caspar bought 8 more jelly donuts than chocolate donuts.'

X +8 = Y (equation 1)

From this statement 'He bought 5 times as many jelly donuts as chocolate donuts.'

5X = Y (equation 2)

Solving simultaneous equations using the method of substitution.

Substituting equation 2 into equation 1

X + 8 = 5X

8 = 5X - X

8 = 4X (Making X the subject of formula by dividing both sides by 4)

2 = X

Substituting X into equation 2

Y= 5 * 2

Y = 10

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2 years ago