Question

remainder theorem find the remainder when 4x3-3x2+x is divided by x+3​

Answer 1

Step-by-step explanation:

this is Answer of your question

Answer 2

➸ Given:-

p(x) = 4x³ -3x² + x

⇒ x + 3 = 0

⇒x = -3

Now, we have to find remainder,

➸ Solution :-

Remainder p(x) = 4x³ -3x² + x

ㅤㅤㅤㅤㅤㅤㅤ= 4(-3)³ -3(-3)² + (-3)

ㅤㅤㅤㅤㅤㅤㅤ= 4×(-27) -3×(9) -3

ㅤㅤㅤㅤㅤㅤㅤ= -108 - 27 -3

ㅤㅤㅤㅤㅤㅤㅤ= -138

Hence, we will get -138 as remainder when we divide p(x) by x+3.

➸ Related information:-

$\small \underline{ \bf{\green{Remainder \: Theorem}}}$ :

The remainder theorem helps us to find remainder without having to do a long division.

Therefore, we do not need to use long division, but just need to simply the polynomial when x is equals to a real number, to find the remainder.

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