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3 years ago

Use synthetic division to divide (x^3 +12x^2 +48x +26) / (x+4)

Mathematics

1 answer:

deff fn [24]3 years ago

6 0

Answer:

The correct option is C

Step-by-step explanation:

(x^3 +12x^2 +38x +26) / (x+4)

Use the coefficients of dividend.

And the divisor is -4:

Bring down 1 and multiply it by -4 and add to 12

12-4 = 8

Now multiply 8 by -4 = -32

48-32 = 6

Now multiply 6 by -4 = -24

26-24= R2

1 12 38 26

-4 -32 -24

_______________

1 8 6 R2

Thus the correct option is C ....

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Answer:

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Step-by-step explanation:

15 x 3.785

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2 years ago

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3 years ago

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BlackZzzverrR [31]

Answer:

The solution of the given trigonometric equation

$x = \frac{\pi }{6}$

Step-by-step explanation:

Step(i):-

Given

$cos( 3x - \frac{\pi }{3} ) = \frac{\sqrt{3} }{2}$

$cos( 3x - \frac{\pi }{3} ) = cos (\frac{\pi }{6} )$

$3x - \frac{\pi }{3} = \frac{\pi }{6}$

$3x - \frac{\pi }{3 } + \frac{\pi }{3} = \frac{\pi }{6} + \frac{\pi }{3}$

$3x = \frac{2\pi +\pi }{6} = \frac{3\pi }{6} = \frac{\pi }{2}$

$x = \frac{\pi }{6}$

Step(ii):-

The solution of the given trigonometric equation

$x = \frac{\pi }{6}$

verification :-

$cos( 3x - \frac{\pi }{3} ) = \frac{\sqrt{3} }{2}$

put $x = \frac{\pi }{6}$

$cos( 3(\frac{\pi }{6}) - \frac{\pi }{3} ) = \frac{\sqrt{3} }{2}$

$cos (\frac{\pi }{6} ) = \frac{\sqrt{3} }{2} \\\\\frac{\sqrt{3} }{2} = \frac{\sqrt{3} }{2}$

Both are equal

∴The solution of the given trigonometric equation

$x = \frac{\pi }{6}$

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2 years ago

Each of Elsa's notebooks is 3/5 inches wide. If she has 30 inches of space remaining on her bookshelf, how many notebooks will f

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Answer:

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Step-By-Step:

First write an equation

3/5x

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So 3/5(50)=30

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3 years ago

Read 2 more answers

Can 24/7 be simplified into a smaller fraction?

dimaraw [331]

Answer:

Step-by-step explanation:

It can't because no number goes into 24 and 7, and 7 does not go its 24

6 0

2 years ago

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