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Divide 15x5-3x³-9x² by -3x².

choices:

12x³ - 6x - 12

-5x³ - 6x + 3

−5x3 + X + 3

-5x³ + x-3

User Konny
by
7.6k points

2 Answers

4 votes

Answer:

C:−5x3 + X + 3

Explanation:

I took the test and got it right

User Yurii Semeniuk
by
8.6k points
4 votes

Answer:

(C) −5x^3 + x + 3.

Explanation:

To divide 15x^5 - 3x^3 - 9x^2 by -3x^2, we can follow these steps:

Divide the coefficient of the first term by the coefficient of the divisor: (-15x^5) / (-3x^2) = 5x^3.

Multiply the divisor by the quotient obtained in step 1: -3x^2 * 5x^3 = -15x^5.

Subtract the product obtained in step 2 from the dividend: 15x^5 - (-15x^5) = 30x^5.

Repeat steps 1 to 3 for the next term: (-3x^3) / (-3x^2) = x, -3x^2 * x = -3x^3, -3x^3 - (-3x^3) = 0.

Repeat steps 1 to 3 for the last term: (-9x^2) / (-3x^2) = 3, -3x^2 * 3 = -9x^2, -9x^2 - (-9x^2) = 0.

Therefore, the result of the division is:

5x^3 + 0x + 3

Simplifying the expression, we get:

5x^3 + 3

Therefore, the correct answer is (C) −5x^3 + x + 3.

User Evan Wieland
by
8.6k points