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jolli1 [7]
3 years ago
14

Given h(x) = x-1 and f(x) = x3-x2+x-1 is h(x) a factor of f(x)?

Mathematics
1 answer:
Kisachek [45]3 years ago
5 0

Answer:

  Yes

Step-by-step explanation:

One way to tell is to look at the remainder from division by x-1, which is the value of f(1).

  1³ -1² +1 -1 = 0

so (x -1) is a factor of f(x).

  f(x) = (x -1)(x^2 +1) = h(x)(x^2 +1)

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m=-1

Step-by-step explanation:

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Please help! <br>what is the answer to this question?<br>​
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B

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3 years ago
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Solve the following equation for b. Be sure to take into account whether a letter is capitalized or not.
Y_Kistochka [10]
j = bH

Switch sides

bH = j


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bH/H = j/H

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6 0
3 years ago
What algebraic expression must be added to the sum of 3x2 +4x+8 and 2x2−6x+3 to give 9x2−2x−5 as the result?
vesna_86 [32]

Answer:

4x^2-16

Step-by-step explanation:

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#We subtract the sum of the first two expression from the third expression:

\#Add \ first \ two\\\\=3x^2 +4x+8 +2x^2-6x+3\\\\=5x^2-2x+11\\\\\# Subtract\ from \ the \ third\\=(9x^2-2x-5)-(5x^2-2x+11)\\\\=9x^2-2x-5-5x^2+2x-11\\\\=4x^2-16

Hence, the expression 4x^2-16 must be added to the first two.

7 0
3 years ago
A scalar and matrix multiplication problem
pentagon [3]

Answer:

\left[\begin{array}{ccc}-32\\4\\20\\-36\end{array}\right]

Step-by-step explanation:

The product of a scalar times the matrix involves the product of that scalar times each of the elements of the matrix, resulting on the multiplication by "-4" of each of the four elements as shown below. These new product values end up being the new matrix elements.

-4*\left[\begin{array}{ccc}8\\-1\\-5\\9\end{array}\right] = \left[\begin{array}{ccc}-32\\4\\20\\-36\end{array}\right]

5 0
4 years ago
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