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3 years ago

What is the result when 9 x 3 + 18 x 2 + 23 x + 30 9x 3 +18x 2 +23x+30 is divided by 3 x + 5 3x+5?

Mathematics

1 answer:

rusak2 [61]3 years ago

4 0

Answer:

There is no remainder. This means (3x+5) is a factor.

Step-by-step explanation:

We divide (3x+5) into the polynomial $9x^3+18x^2+23x+30$ through long division or synthetic. We choose long division and look for what will multiply with (3x+5) to make the polynomial $9x^3+18x^2+23x+30$ .

$(3x+5)(3x^2)=9x^3+15x^2$

We subtract this from the original $9x^3-(9x^3)+18x^2-(15x^2)+23x+30$ .

This leaves $3x^2+23x+30$ . We repeat the step above.

$(3x+5)(x)=-3x^2+5x$ .

We subtract this from $3x^2-(-3x^2)+23x-(5x)+30=18x+30$ . We repeat the step above.

$(3x+5)(6)=18x+30$ .

We subtract this from $18x-18x+30-30=0$ . There is no remainder. This means (3x+5) is a factor.

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Answer:

Area: $\frac{8}{15}$ feet²

Perimeter: $\frac{44}{15} =2 \frac{14}{15}$ feet

Step-by-step explanation:

The formula of finding the area of a rectangle or square is width multiplied by length.

The formula of find the perimeter of a rectangle or square is width+width+length+length

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Perimeter:

$\frac{4}{5} +\frac{4}{5} +\frac{2}{3} +\frac{2}{3} =$

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3 years ago

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zhuklara [117]

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Step-by-step explanation:

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2 years ago

Find the measure of the indicated arc

taurus [48]

Answer:

m(ABC) = 218°

Step-by-step explanation:

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2 years ago

PLEASE HELP: A standard six-sided die is rolled.

amm1812

Answer in fraction form is 1/3

Answer in decimal form is 0.3333

Pick one answer only.

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Explanation:

The sample space is the set of all possible outcomes. In this case, the outcomes consist of values between 1 and 6

S = sample space

S = {1,2,3,4,5,6}

There are 6 items here. Let B = 6.

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which consists of 2 items. Let A = 2.

The probability we want is A/B = 2/6 = 1/3 = 0.3333

So if you go with the fraction option, then you'll type in 1/3

If you go with the decimal option, then you'll type in 0.3333

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djyliett [7]

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