Question

Fill in the blanks:

Linear Polynomial	Zero of the polynomial
$x+a$	$-a$
$x-a$	_____
$ax+b$	_____
$ax-b$	$\frac{b}{a}$

Answer 1

A polynomial is zero polynomial when $p\left(x\right)=0$

(1) $x-a=0$

Add $a$ both sides, we get

$x-a+a=a$ $\Rightarrow x=a$

So, answer is $a$.

(2) $ax+b=0$

Add $-b$ both sides, we get

$ax+b-b=-b\Rightarrow ax=-b$

Divide both sides by $a$, we get

$x=-\frac{b}{a}$

So, answer is $-\frac{b}{a}$.