Find remainder when p(x)=2x²+3x-6 divided byx+2
Answers
What is the remainder left when 2x^2 + 3x + 1 is divided by x + 2?
It is simple.
When a function f(x) is divided by (x−a) , the remainder is obtained by as follows:
First equate (x−a) to 0 , then substitute this value in the function f(x) .
Applying this to given problem, we get
f(x)=2x2+3x+1
Equating the divisor to zero, we get
x+2=0
⇒x=−2
Substituting this value of x in f(x) , we get
=2(−2)2+3(−2)+1
=2(4)−6+1
=8−6+1
=3
Therefore, remainder is 3 .
What is the remainder when x^2-3x+2 is divided by x-2?
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Preetha
Since you want the remainder specifically by division method I have done it for you. Others have used Remainder theorem which is easier.
Give Amazon a try.
lets say 2x^2 + 3x + 1 = f(x)
If f(x) is divided by (x+2), then remainder should be f(-2)
f(-2) = 2(-2)^2 + 3(-2) + 1
= 2(4)+3(-2)+1
=8–6+1
=3
So, remainder = 3
let p(x) = 2*x^2 + 3*x +1
As per remainder theorem when p(x) is divided by x+a then
remainder=p(-a)
here divisor=x+2 so a=-2
The remainder = p(-2)
=2*(-2)^2 + 3*(-2)+1
=8–6+1=3
Hence remainder is 3
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f(x)=2x^2+3x+1
f(-2) or Remainder =2.(-2)^2+3×(-2)+1 = 8–6+1 =9–6 = 3. Answer.
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What is the remainder when x^2-3x+2 is divided by x-2?
What is the remainder when x^3 - x + 1 is divided by 2x - 1?
How do you find the remainder (without division) when (a) x^2 - 2x + 4 is divided by x - 1 (b) 2x^3 - 3x^2 + 7x - 8 is divided by x - 1?
If both ax^3 + 2x^2 - 3 and x^2 - ax + 4 leave the same remainder when divided by x - 2, how do you find "a"?
What is the remainder when x^3 – 1 is divided by (x + 2) (from NC math 3 final exam)?
What is the remainder when 2x^3-4x+7 is divided by 2x-1?
What will be the remainder when 2x³-4x² is divided by x+3?
When x4−2x3+x2 is divided by x2+1 , what is the remainder?
What is the remainder when 5x^3+2x^2-7x-5 is divided by x-2?
What is the remainder when 3x^4-4x^3-3x-1 is divided by x-1?
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What will be the remainder of x^3+3x^2+3x+1 divided by x+π?
Step-by-step explanation:
-4 is the reminder
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