question\nexpand the expression to a polynomial in standard form:\n(3x + 10)(-3x² + x - 3)

Explanation:

Step1: Apply distributive property (FOIL for polynomials)

Multiply (3x) by each term in (-3x^2 + x - 3) and (10) by each term in (-3x^2 + x - 3). (3x \times (-3x^2) = -9x^3), (3x \times x = 3x^2), (3x \times (-3) = -9x) (10 \times (-3x^2) = -30x^2), (10 \times x = 10x), (10 \times (-3) = -30)

Step2: Combine like terms

Combine the (x^2) terms: (3x^2 - 30x^2 = -27x^2) Combine the (x) terms: (-9x + 10x = x)

Step3: Write in standard form

Arrange the terms in descending order of exponents: (-9x^3 - 27x^2 + x - 30)

Answer:

(-9x^3 - 27x^2 + x - 30)