The required polynomial is:[tex]-4x^2-2x+15[/tex]
Step-by-step explanation:
Let P be the polynomial that has to be found
Given
One polynomial = [tex]5x^2-3x-9[/tex]
Sum of both polynomials = [tex]x^2-5x+6[/tex]
So,
[tex](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[/tex]
Hence,
The required polynomial is:[tex]-4x^2-2x+15[/tex]
Keywords: Polynomials, expressions
Learn more about polynomials at:
- brainly.com/question/1704778
- brainly.com/question/1695461
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