Classify the following polynomials. combine any like terms first

Monomial

Trinomial

Monomial

Trinomial

Binomial

Step-by-step explanation:

Monomial = 1 unique term

Binomial = 2 unique terms

Trinomial = 3 unique terms

In the first one, the -x^2 and the +x^2 cancel out, and since 2x and 4x are like terms, you can combine them, leaving you with 6x, a Monomial.

In the second one, after combining +3-2 you have 3 separate terms that cannot be combined, making it a Trinomial

In the third one, all of the variables cancel each other out, leaving you with one term, 3, making it a Monomial

In the fourth one, after combining like temrs, you are left with:

x^3 + 3x^2 + 7x

Making it a Trinomial

In the last one, the 6x and -6x cancel out, leaving you with two terms, making it a Binomial.

Step-by-step explanation:

1.Linear monomial

2.Cubic trinomial

3.Constant monomial

4.Cubic trinomial

5.Cubic binomial

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."