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Divide [tex]36x^5 − 44x^4 − 28x^3[/tex] by [tex]4x^2[/tex].

A. [tex]9x^2 − 11x − 7[/tex]
B. [tex]9x^2 + 11x + 7[/tex]
C. [tex]9x^3 − 11x^2 − 7x[/tex]
D. [tex]9x^3 + 11x^2 + 7x[/tex]

Answer :

The final answer is 9x³ − 11x² − 7x.

What is division?

Division is a mathematical operation that involves dividing one number (the dividend) by another number (the divisor) to determine the quotient. Division can be used to solve problems involving fractions, decimals, and percentages. It is also used to simplify complex equations and to break down large numbers into smaller, more manageable parts. Division is one of the four basic operations of arithmetic, along with addition, subtraction, and multiplication.

To divide 36x⁵ − 44x⁴ − 28x³ by 4x² we need to use long division.

First, we divide 4x² into 36x⁵. The result is 9x³, and we write it above the first term of the dividend. We then multiply this result by 4x² and subtract it from 36x⁵− 44x⁴ − 28³ This gives us 11x ²− 28x³.

Next, we divide 4x² into 11x²The result is 9x, and we write it above the second term of the dividend. We then multiply this result by 4x²and subtract it from 11x2 − 28x³. This gives us 11x − 28x³.

Finally, we divide 4x² into 11x. The result is 7, and we write it above the third term of the dividend. We then multiply this result by 4x² and subtract it from 11x − 28x³. This gives us −7.

The final answer is 9x³− 11x² − 7x.

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