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What polynomial will produce the sum 7x^2-x+3 when added to 3x^2-5x+4

Sagot :

Answer:

[tex]4x^2 + 4x - 1[/tex]

Step-by-step explanation:

Let f(x) = [tex]7x^2 - x + 3[/tex], g(x) = [tex]3x^2 - 5x + 4[/tex], and let h(x) be the polynomial that we have to find.

From the question we know that,

f(x) = g(x) + h(x)

Subtract both sides by g(x),

f(x) - g(x) = h(x)

So h(x)

= f(x) - g(x)

= [tex]7x^2 - x + 3 - 3x^2 + 5x - 4[/tex]

= [tex]4x^2 + 4x - 1[/tex]

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