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:

quadratic binomial

cubic binomial

quadratic trinomial

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

Hello!

6 girls and 2 boys are to be seated in a row, with 4 girls seated btwn the 2 boys.

Now let us number 8 seats, starting from the left as follows:

S1, S2, S3, S4, S5, S6, S7, S8

Now the following cases arise regarding the seating arrangement of the boys -

B1 seated on S1 and B2 seated on S6 ( leaving S 2,3,4 & 5)

Now in the remaining 6 seats, 6 girls can be arranged in 6! ways = 720 ways.

On interchanging B1 and B2′s place, we get 720 more arrangement

Therefore, current total = 1440 ways

2. B1 - S2 and B2 - S7

1440 more arrangements can be formed as in previous case.

3. B1 - S3 and B2 - S8

1440 more arrangements can be formed as in previous case.

Therefore total ways to arrange the seating plan are 1440 × 3 = 4320 ways

Hope This helped you! :D