Since polynomials are algebraic expressions, when adding or subtracting polynomials, the resulting p

Question

Since polynomials are algebraic expressions, when adding or subtracting polynomials, the resulting polynomial can be simplified by adding and subtracting like terms Let $ \mathrm{P}(x) = Ax^3 + Bx^2 + Cx + D$ and $ \mathrm{Q}(x) = Ex + F$ Then, $ \mathrm{P}(x) + \mathrm{Q}(x) = Ax^3 + Bx^2 + (C + E)x + (D + F) $ Let $ \mathrm{P}(x) = 4x^5 + 3x^3 - 12x + 7$ and $ \mathrm{Q}(x) = 4x^3 - 3x^2 $ Find $ \mathrm{P}(x) - \mathrm{Q}(x) $

Accepted Answer

$4x^5 - x^3 - 3x^2 - 12x + 7$