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1 year ago

Find the remainder when f(x) = x3 − 14x2 + 51x − 22 is divided by x − 7. 36 8 −8 −36

Mathematics

2 answers:

vlabodo [156]1 year ago

3 0

This is by the rmeainder theorem f(7)

= 7^3 - 14(7)^2 + 51(7) - 22

= -8

jeyben [28]1 year ago

3 0

We are given polynomial function $f(x) = x^3-14x^2+51x-22.$

We need to divide it by (x-7) to get the remainder.

Please see.. if we set x-7 equals 0, we get

x-7=0

x=7.

Plugging x=7 in the given polynomial, we get

$f(7) = (7)^3-14(7)^2+51(7)-22$

=343-686+357-22

=-8.

<h3>Therefore, remainder is −8.</h3>

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1 year ago

Use deductive reasoning to show that the following procedure always produces the number 6. Procedure: Pick a number. Add 4 to th

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1 year ago

A doctor is measuring the average height of male students at a large college. The doctor measures the heights, in inches, of a s

denpristay [2]

Answer:

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b. The doctor can be 95% confident that the mean height of male students at the college is between 63.5 inches and 74.4 inches.

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2 years ago

Zayed is helping his classmates get ready for their math test by making them identical packages of pencils and calculators. He h

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to find the GCM, you factor 72 and group the like ones
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6 0

1 year ago

Read 2 more answers

If DE = 4x + 10, EF = 2x-1, and DF = 9x-15, find DF

Dmitrij [34]

Hello,
<span>We have that:
(4x+10)+(2x-1)=9x-15

</span>We solve the equation:
4x+10+2x-1=9x-15;
6x+9=9x-15;
6x-9x=-15-9;
-3x=-24;
3x=24;

<span>from which
</span>x=24:3=8

<span>Then:
DF=9x-15=(9</span>×8)-15=72-15=57

bye :-)

5 0

2 years ago

Read 2 more answers