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Addition of polynomials

Addition of polinomials
Adding polynomials is essentially combining like terms of polynomial expressions. When adding polynomials, they can either be arranged vertically or grouped according to degree.

Add P(x)= 2p³ + 6p² +9p to Q(x) = 3p³ - 8p² - 11p

The resulting polynomial is: P(x) + Q(x)= 5p³ - 2p² - 2p

Let's see the combinations of like terms:
2p³ + 3p³ = 5p³
6p² - 8p² = -2p²
9p - 11p = -2p

$$-8x^5-8x^4-6x^3-2x^2-7x-5$+$4x^5-8x^4+2x^3+9x^2-4x-7$=$

Solution:

x⁵

x⁴

x³

x²