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Nana76 [90]
3 years ago
6

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

Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
5 0

Answer:

4x^2 + 4x - 1

Step-by-step explanation:

Let f(x) = 7x^2 - x + 3, g(x) = 3x^2 - 5x + 4, 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)

= 7x^2 - x + 3 - 3x^2 + 5x - 4

= 4x^2 + 4x - 1

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