Question

1.Take 4x + 2 from 8x + 5.

A.-4x - 3
B.4x + 3
C.4x - 3

2.Identify the polynomial.

a^2b - cd^3

monomial
binomial
trinomial
four-term polynomial
five-term polynomial

Answer 1

8x + 5 - (4x + 2)

= 8x - 4x + 5 - 2
= 4x + 3

2.
This is a binomial ( contains 2 terms)

Answer 2

1. 4x + 3

2. Binomial

Explanation:

1. Given phrase,

Take 4x + 2 from 8x + 5

That is,

(8x+5) - (4x+2)

= 8x + 5 - 4x - 2

= 4x + 3 ( By combining the like terms )

Thus, OPTION B is correct.

2. An expression with one or more than one algebraic terms combined by addition or subtraction is called a polynomial.

There are different types of polynomial,

Monomial : Polynomial with one term,

Binomial : Polynomial with two terms,

Trinomial : Polynomial with three terms,

Four-term polynomial : Polynomial with four terms,

Five-term polynomial : Polynomial with five terms,

Here, the given expression,

`a^2b - cd^3`

There are two terms
`a^2b` and
`cd^3`.

Thus, it is a binomial.