Question

Can you check my answers and help with number 3?

1. Which expressions are polynomials? Select EACH correct answer.
A: 8x2(3^y) <----
B: 9x2(y/5)
C: 3y2(x 1/4)
D:4x2(y^5)<-----

2. Which description is correct for the polynomial 3x3+4x2−7?


A: quartic trinomial

B: cubic trinomial

C: cubic binomial <-----

D: quadratic trinomial

3. What is the degree of the polynomial −6x3y2+5x4−7z?

4.Simplify.

(5x−2+3x2)+(4x+3)

A: 3x2+x+5

B: 12x4+1

C: 3x2+9x−1 <-----

D: 3x2+9x+1

5. Simplify.

(5x^2+2x−5)−(3x^2+3x+1)


A: 2x^2−5x+4

B: 2x^2+5x−4 <----

C: 2x^2−x−6

D: 8x^2+5x−4

Answer 1

Answer: Question 1 :B,D.

Question 2:option B,

Question 3:Degree=5.

Question 4:option D.

Question 5: option c.

Explanation:

1) A polynomial can not have any exponent as a variable or a fraction.

Options B and D are polynomials.

2) The polynomial is having 3 terms and is of degree 3.so it is a cubic trinomial Option B.

3) Degree is the highest power of the variables in the terms .The term
`6x^(3) y^(2)` has the power=3+2=5

So degree =5.

4)
`(5x-2+3x^(2) )+(4x+3)=3x^(2) +5x+4x-2+3=3x^(2)+9x+1.`

Option D

5)
`(5x^(2) +2x-5)-(3x^(2)+3x+1)= 5x^(2)+2x-5-3 x^(2)-3x-1`

Simplifying like terms,

=
`2x^(2)-x-6.`

Option c.