Question

The product of two expressions is x^5 + 3x^3 + 4x. If one of them is x^2 + x + 2, find the other term

Answer 1

QUESTION⇩⇩

The product of two expressions is x^5 + 3x^3 + 4x. If one of them is x^2 + x + 2, find the other term

ANSWER⇩⇩

${\underline{\underbrace{UNDERSTANDING \: \: THE \: \: CONCEPT}}}$

The product is given

$x^5 + 3x^3 + 4x$

one of the number is

$x^2 + x + 2$

then we have to find the 2nd number which we multiplied by the given number.

${\underline{\underbrace{LET'S \: \: DO \: \: IT }}}$

LET THE OTHER NUMBER BE a.

SO, ACCORDING TO QUESTION,

$⇝(x^2 + x + 2) × (a )= (x^5 + 3x^3 + 4x)$

$⇝ a = \frac{x^5 + 3x^3 + 4x \: }{x^2 + x + 2\: }$

THEN, WE WILL SOLVE IT WITH LONG DIVISION METHOD⇢

SEE THE ATTACHMENT⇧

THERFORE,

${ \boxed{ \boxed{ \underline{ \pink{a = x^3 - x^2 +2x}}}}}$

$(x^3 - x^2 +2x) × (x^2 + x + 2 )= (x^5 + 3x^3 + 4x)$

$\dag\purple{HOPE \: \: IT \: \: HELPS}\dag$

Answer 2

Answer:

The product of two expressions is x^5 + 3x^3 + 4x. If one of them is x^2 + x + 2, find the other term

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