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Using long division, what is the quotient of 3x^4 + 20x^3 + 14x^2 + 17x + 30 and x + 6 ?

Sagot :

rosemass

Answer: D

The first: (x+6)(3x3+2x2+2x+5)

The second:

factor x+6

Cannot factor

Step-by-step explanation: hope this help

The quotient is [tex]3x^3+2x^2+2x+5[/tex]

The correct answer is an option (D)

What is polynomial?

"A mathematical expression which is composed of variables, constants and exponents, that are combined using the mathematical operations."

What is long division?

"It is a method for dividing one large degree polynomial number into smaller degree polynomials."

What is quotient?

"It is the result of the division of a polynomial by any other polynomial."

For given question,

We have been given polynomials [tex]3x^4 + 20x^3 + 14x^2 + 17x + 30[/tex] and [tex]x+6[/tex]

We need to find the quotient when [tex]3x^4 + 20x^3 + 14x^2 + 17x + 30[/tex] is divided by x + 6.

Using long division the division of  [tex]3x^4 + 20x^3 + 14x^2 + 17x + 30[/tex] and [tex]x+6[/tex] is shown below.

Therefore, the quotient is [tex]3x^3+2x^2+2x+5[/tex]

The correct answer is an option (D)

Learn more about the long division here:

https://brainly.com/question/20699628

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