Middle School

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------------------------------------------------ Divide [tex]42x^3 - 21x^2 + 49x[/tex] by [tex]7x[/tex].

A. [tex]6x^3 - 3x + 7[/tex]
B. [tex]6x^3 + 3x - 7[/tex]
C. [tex]6x^2 - 3x + 7[/tex]
D. [tex]6x^2 + 3x - 7[/tex]

Answer :

The required expression is 6x² - 3x + 7 determined by when dividing 42x³ - 21x² + 49x by 7x.

What is the algebraic expression?

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

The expressions are given in the question, as follows:

42x³ - 21x² + 49x

We have to divide 42x³ - 21x² + 49x by 7x.

As per the question, we have

(42x³ - 21x² + 49x) / 7x.

42x³/7x - 21x²/7x + 49x/7x

Reduce the above expression in the simplest form

6x² - 3x + 7

Thus, the required expression is 6x² - 3x + 7.

Learn more about the algebraic expression here :

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Answer:

6x² - 3x + 7

Step-by-step explanation:

42x³/7x - 21x²/7x + 49x/7x

6x² - 3x + 7