# Zero of a Linear Polynomial

Zero of a Linear Polynomial

As we know, a linear polynomial is of the following form:

$p\left( x \right):ax + b,\,\,a \ne 0$

There is only one zero of this polynomial, and it is easy to find out that zero. We simply equate this polynomial to 0 and find out the corresponding value of x:

\begin{align} & ax + b = 0\\ \Rightarrow \;\;\;\;\;\; & x = - \frac{b}{a}\end{align}

Note that a must not be equal to 0, otherwise this zero will have an undefined value (in fact, if a is equal to 0, then the original polynomial will not even be linear). Here are some examples:

 Liner polynomial Zero $$x+2$$ $$-\frac72$$ $$\pi\;x-3$$ $$\frac3\pi$$ $$\sqrt{2\;}x+4$$ $$-\frac4{\sqrt2}$$ $$-\sqrt[{}]3x+7$$ $$\frac7{\sqrt3}$$

## How many zero's does a linear polynomial have?

• Linear Polynomials have only 1 zero, whereas quadratic and cubic polynomials have 2 and 3 zeroes respectively.

## How do you find the zeros of a polynomial step by step?

• To find the zeros of a polynomial follow these steps (uses Rational Root Test)
• Step 1: Find factors of the leading coefficient.
• Step 2: Find factors of the constant.
• Step 3: Find all the POSSIBLE rational zeros or roots.
• Step 1: Find factors of the leading coefficient.
• Step 2: Find factor of the constant.
• Step 3: Find all the possible rational zeros or roots.

## What is the zero of a linear polynomial?

• In order to find the zero of a linear polynomial equate P(x)= 0. Therefore the zero of a linear polynomial ax+b is -b/a

## What makes a polynomial linear?

• any polynomial that can be defined by an equation of the form. p(x) = ax + b. where a and b are real numbers and a (not equal to sign) 0 is considered to be linear. For example, p(x)=3x-7

## Is Pi a polynomial?

• Since a polynomial refers to an equation that has four or more variables, Pi (π) cannot be considered as a polynomial. It is only a value referring to the circumference of a circle.
Polynomials
Grade 9 | Questions Set 1
Polynomials