What must be added to (x³ + x² – 2x + 5) to get (2x³ + x² – 3x + 2)?. Created by sam101808. Math

ADDING POLYNOMIALSQuestion: What must be added to to get ?Representation:Let be the unknown numberEquation:Solution:Answer:Checking:#CarryOnLearning

What must be added to (x³ + x² – 2x + 5) to get (2x³ + x²

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sam101808 @sam101808

November 2022 1 10 Report

What must be added to (x³ + x² – 2x + 5) to get (2x³ + x² – 3x + 2)?

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MissJindySummer

Verified answer

ADDING POLYNOMIALS

Question: What must be added to $x^3+x^2-2x+5$ to get $2x^3+x^2-3x+2$ ?

Representation:

Let $y$ be the unknown number

Equation:

$(x^3+x^{2} -2x+5)+y=2x^{3}+x^{2} -3x+2$

Solution:

$x^{2} -2x+5+y=2x^{3}+x^{2} -3x+2-x^{3}$

$-2x+5+y=2x^{3}+x^{2} -3x+2-x^{3}-x^{2}$

$5+y=2x^{3}+x^{2} -3x+2-x^{3}-x^{2} +2x$

$y=2x^{3}+x^{2} -3x+2-x^{3}-x^{2} +2x-5$

$y=2x^{3}-3x+2-x^{3}+0+2x-5$

$y=x^{3}-3x+2+2x-5$

$y=x^{3}-x+2-5$

$y=x^{3}-x-3$

Answer:

${\blue{\boxed{\blue{\huge{\boxed{x^{3}-x-3}}}}}}$

Checking:

$(x^{3} + x^{2} - 2x + 5)+(x^{3}-x-3)$

$x^{3}+x^{2} -2x+5+x^{3}-x-3$

$2x^{3}+x^{2} -2x+5-x-3$

$2x^{3}+x^{2} -3x+5-3$

$2x^{3}+x^{2} -3x+2$

${\blue{\boxed{Soyeon:))}}}$

#CarryOnLearning

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sam101808 November 2022 | 0 Replies

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