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)
"A mathematical expression which is composed of variables, constants and exponents, that are combined using the mathematical operations."
"It is a method for dividing one large degree polynomial number into smaller degree polynomials."
"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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