The polynomial expression that represents AB + C in simplest form is: x³ + 3x² + 3x - 1.
Polynomials are algebraic expressions having variables and constants, and may include exponents.
AB + C would be expressed as:
(x + 1)(x² + 2x - 1) + 2x
Expand
x(x² + 2x - 1) +1(x² + 2x - 1) + 2x
x³ + 2x² - x + x² + 2x - 1 + 2x
x³ + 3x² + 3x - 1 (simplest form)
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