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3 years ago

12

Algebra 2 please help

1 answer:

damaskus [11]3 years ago

8 0

I believe this is correct:
13 x^3-78x^2-234x

pleasa vote my answer brainliest. thanks!

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Wow... good job
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3 years ago

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Find number a and k so that x-2 is afactor<br>OF F(x)=x4-2ax tax-<br>X+k and F(-1)=3

Slav-nsk [51]

Question:

Find numbers a and k so that x-2 is a factor of

$f(x)=x^4-2ax^3+ax^2- x+k$

and

$f(-1)=3$

Answer:

$k = -2$ and $a=1$

Step-by-step explanation:

Given

$f(x)=x^4-2ax^3+ax^2- x+k$

$Factor:\ x - 4$

$f(-1)=3$

Required

Find a and k

For $f(-1)=3$

Substitute -1 for x

$f(x)=x^4-2ax^3+ax^2- x+k$

$f(-1) = (-1)^4 - 2a *(-1)^3 + a*(-1)^2 - (-1) + k$

$f(-1) = 1 - 2a *-1 + a*1 +1 + k$

$f(-1) = 1 +2a + a +1 + k$

$f(-1) = 2 +3a + k$

Substitute 3 for f(-1)

$3 = 2 +3a + k$

Collect Like Terms

$3 - 2 = 3a + k$

$1 = 3a + k$

Also:

If $x - 2$ is a factor, then

$f(2) = 0$

Substitute 2 for x and 0 for f(x)

$f(x)=x^4-2ax^3+ax^2- x+k$

$0 = 2^4 - 2a * 2^3 + a * 2^2 - 2 + k$

$0 = 16 - 2a * 8 + a * 4 - 2 + k$

$0 = 16 - 16a + 4a - 2 + k$

$0 = 16 - 12a - 2 + k$

Collect Like Terms

$2 - 16 = - 12a + k$

$-14 = k - 12a$

$k = 12a - 14$

Substitute 12a - 14 for k in $1 = 3a + k$

$1 = 3a + 12a - 14$

$1 = 15a - 14$

Collect Like Terms

$15a = 1 + 14$

$15a = 15$

Solve for a

$a = \frac{15}{15}$

$a=1$

Substitute 1 for a in $k = 12a - 14$

$k = 12 * 1 - 14$

$k = 12 - 14$

$k = -2$

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2 years ago

Find the GCF AND LCM OF 25 AND 75

Verizon [17]

Answer:

GCF : 5 LCM :75

Step-by-step explanation:

8 0

2 years ago

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An amount of $4000 is invested. The interest rate is 2%. What is the amount earned in one year ?

nasty-shy [4]

Interest = PRT/100
Compound interest = P(1 + (R/100))^T

Where P = Principle ( amount )
R = Rate
T = Time

Since the time is only 1 year, the answer will be the same for both interest and compound interest formulae.

∴ 4000(2)(1)/100 =$80 (This is the interest value)

Note if question ask you what is the total amount after x years, be sure to add the interest with the principle.

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3 years ago

Is 5/x + 3x-2y a polynomial

DiKsa [7]

Answer:

No, it is not a polynomial

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3 years ago

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