What is the quotient? 4x^2+3x+2 divided by x-3

Mathematics

1 answer:

Phoenix [80]3 years ago

4 0

For this case, we must build a quotient that, when multiplied by the divisor, eliminates the terms of the dividend until it reaches the remainder.

quotient: $4x + 15$

Divisor: x-3

Dividend: $4x ^ 2 + 3x + 2$

Remainder: 47

It must be fulfilled that:

Dividend = Quotient * Divisor + Remainder

Answer:

See attached image

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Step-by-step explanation:

The complete question is

Chase is building a birdhouse in the shape of a regular polygon. He knows that the measure of the interior angle is twice the measure of the exterior angle and the length of a diagonal that passes through the center is 12. What is the perimeter of the base of the birdhouse?

step 1

Find the measure of the interior angle

Let

x ---> the measure of the interior angle

y ---> the measure of the exterior angle

Remember that

the sum of the interior and exterior angle in any polygon is equal to 180 degrees

$x+y=180^o$ ----> equation A