Question

Which of the following is a true statement?


a.
x3 +x - 1 is a linear nomomial


b.
x2 +1 is a linear polynom


c.
x + 1 is binomial


d.
x2 +4x - 3 is a linear binomial​

Answer 1

Given : a. x³ +x - 1 is a linear monomial

b.  x² +1 is a linear polynom ial

c.  x + 1 is binomial

d.  x² +4x - 3 is a linear binomial​

To Find : Which is a true statement?

Solution:

monomial : an expression that contains one term

binomial is a polynomial that is the sum or difference of two terms, each of    which is a monomial.

linear polynomial  is of form f(x) = ax + b  

x³ +x - 1 is a linear monomial - FALSE

as it has more than 1 terms also it is cubic  not linear

x² +1 is a linear polynomial  - FALSE

as its quadratic

x + 1 is binomial    - TRUE

as its sum of  two terms, each of    which is a monomial.  

x² +4x - 3 is a linear binomial​  - FALSE

its not binomial as it has more than 2 terms

also its quadratic not linear

x + 1 is binomial   is TRUE statement

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