How to multiply these two polynomials:

(x² + 5x + 2)(x - 1)

(x² + 5x + 2)(x - 1)

= x²(x) + x²(-1) + 5x(x) + 5x(-1) + 2(x) + 2(-1) {used distributive property}

= x³ - x² + 5x² - 5x + 2x - 2 {multiplied through}

=

**x³ + 4x² - 3x - 2**{combined like terms}

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