Question

Find a polynomial, which, when added to the polynomial 5x2–3x–9, is equivalent to: x2−5x+6

Answer 1

The required polynomial is:$-4x^2-2x+15$

Step-by-step explanation:

Let P be the polynomial that has to be found

Given

One polynomial = $5x^2-3x-9$

Sum of both polynomials = $x^2-5x+6$

So,

$(5x^2-3x-9) + P = x^2-5x+6\\P = x^2-5x+6 - (5x^2-3x-9)\\P = x^2-5x+6-5x^2+3x+9\\P = x^2-5x^2-5x+3x+6+9\\P = -4x^2-2x+15$

Hence,

The required polynomial is:$-4x^2-2x+15$

Keywords: Polynomials, expressions

Learn more about polynomials at:

• brainly.com/question/1704778
• brainly.com/question/1695461

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