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Which of the following polynomials, when subtracted from the polynomial 3 x^2 +8-2x yields a solution of 2x^2 +3x+4 ? 

Which Of The Following Polynomials When Subtracted From The Polynomial 3 X2 82x Yields A Solution Of 2x2 3x4 class=

Sagot :

Answer:

[tex]g(x)=x^2-5x+4[/tex]

Step-by-step explanation:

We need to find a polynomial when subtracted from the polynomial [tex]3 x^2 +8-2x[/tex] yields a solution of [tex]2x^2 +3x+4[/tex]. Let it is g(x).

ATQ,

[tex]3 x^2 +8-2x-g(x)=2x^2 +3x+4\\\\3 x^2 +8-2x-(2x^2 +3x+4)=g(x)\\\\3 x^2 +8-2x-2x^2-3x-4=g(x)\\\\x^2-5x+4=g(x)[/tex]

So, [tex]x^2-5x+4[/tex] must be subtracted from the polynomial [tex]3 x^2 +8-2x[/tex] yields a solution of [tex]2x^2 +3x+4[/tex].

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