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3 years ago

6

What is the answer to the following algebra question: 2x + 7(4x + 3) =

2 answers:

goldfiish [28.3K]3 years ago

7 0

2x+28x+21
30x+21

There is no Like terms that can equal each other so the answer is 30x+21

svlad2 [7]3 years ago

6 0

1) Distribute
2x + 28x + 21

2) Combine like terms
30x + 21

Since there are no more like terms, 30x and 21 cannot be combined. Therefore, the answer is 30x+ 21

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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

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Question:

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

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and

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Step-by-step explanation:

Given

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

$Factor:\ x - 4$

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Required

Find a and k

For $f(-1)=3$

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Also:

If $x - 2$ is a factor, then

$f(2) = 0$

Substitute 2 for x and 0 for f(x)

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

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

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

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

Collect Like Terms

$2 - 16 = - 12a + k$

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$k = 12a - 14$

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Solve for a

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

$a=1$

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

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$k = 12 - 14$

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3 0

2 years ago