Classify the following polynomials. combine any like terms first. x²+ 3x + 2x – 2x² x³+ 4x – 4x – 4x² x³+ 2x – x³ – 2x² + 3

Step-by-step explanation:

Polynomials can be classified on the basis of

a) number of terms

b) degree

We will classify each question by both.

1. x²+ 3x + 2x – 2x²

Combining like terms:

x² – 2x² + 3x + 2x

= -x²+5x

Classification on basis of number of terms = binomial as 2 terms

Classification on basis of degree = 2nd degree binomial as highest degree is 2

2. x³+ 4x – 4x – 4x²

Combining like terms:

x³+ 4x – 4x – 4x²

= x³ – 4x²

Classification on basis of number of terms = binomial as 2 terms

Classification on basis of degree = 3rd degree binomial as highest degree is 3

3. x³+ 2x – x³ – 2x² + 3

Combining like terms:

x³ – x³+ 2x – 2x² + 3

= – 2x² + 2x + 3

Classification on basis of number of terms = trinomial as 3 terms

Classification on basis of degree = 2nd degree trinomial as highest degree is 2

Step-by-step explanation:

quadratic binomial

cubic binomial

quadratic trinomial

-2x + 7 = 7

subtract 7 from both sides.

-2x = 0

divide both sides by -2.

x = 0