Question

If the polynomial p(x) is divided by ax + b, then what is the remainder by Remainder theorem?

Answer 1

if p(x) is divided by ax+b
So, By Remainder theorm,
ax+b=0
ax= -b
x= -b/a
So remainder will be p(-b/a)

Answer 2

Answer:

So remainder will be $x= -\frac{b}{a}$

Step-by-step explanation:

Given :  The polynomial p(x) is divided by ax + b

To find : The remainder by Remainder theorem

Solution :

By remainder theorem ,

P(x)=Q(x)D(x)+R

Where, P(x) is Dividend

Q(x) is quotient

D(x) is divisor

R is remainder

If it is completely divisible then remainder is zero.

If p(x) is divided by ax+b

So, By Remainder theorem,

$ax+b=0$

$ax= -b$

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

So remainder will be $x= -\frac{b}{a}$