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iren [92.7K]
3 years ago
14

Math Help PLZ!!!!!!!!!

Mathematics
1 answer:
VMariaS [17]3 years ago
4 0

Answer: C

<u>Step-by-step explanation:</u>

 f(x) =   2x + 1  ⇒       2x + 1

<u>- g(x) = -(x² - 7) </u>⇒  <u>-x²     + 7 </u>

              (f-g)(x) = -x² + 2x + 8

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The table represents the start of the division of 8x^4+2x^3-7x^2+3x-2 by the indicated divisor. Find the quotient.
zloy xaker [14]
Answer: <span><span>2x² + x - 2</span> (the first option)

Explanation:

1) Question: divide 8x⁴+2x³-7x²+3x-2 by 4x² - x + 1

2) First term of the quotient

</span><span>  8x⁴ + 2x³ - 7x² + 3x - 2     | 4x² - x + 1
                                           ---------------------
 -8x⁴ + 2x³ - 2x²                   2x²
----------------------------------
           4x³ - 9x² + 3x - 2

3) Second term of the quotient:
</span>
<span>  8x⁴ + 2x³ - 7x² + 3x - 2     | 4x² - x + 1
                                           ---------------------
 -8x⁴ + 2x³ - 2x²                   2x² + x
----------------------------------
           4x³ - 9x² + 3x - 2
          -4x³ +  x² -   x
        ----------------------------
                  - 8x² + 2x - 2

4) third term of the quotient:
</span>
<span>  8x⁴ + 2x³ - 7x² + 3x - 2     | 4x² - x + 1
                                           ---------------------
 -8x⁴ + 2x³ - 2x²                   2x² + x - 2
----------------------------------
           4x³ - 9x² + 3x - 2
          -4x³ +  x² -   x
        ----------------------------
                  - 8x² + 2x - 2
                    8x²  - 2x + 2
                 -------------------------
                             0

5) Conclusion: since the remainder is 0, the division is exact and the quotient is </span>2x² + x - 2

You can verify the answer by multiplying the quotient obtained by the divisor. The result has to be the dividend.
5 0
3 years ago
Read 2 more answers
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