Question

part a
multiply. express your answer as a polynomial in standard form.
(2 point)
(3x - 2)(x - 9) =
\boxed{}

Explanation:

Step1: Apply distributive property (FOIL)

Multiply each term in the first binomial by each term in the second binomial:
\( (3x - 2)(x - 9) = 3x \cdot x + 3x \cdot (-9) - 2 \cdot x - 2 \cdot (-9) \)

Step2: Simplify each term

Calculate each product:
\( 3x \cdot x = 3x^2 \), \( 3x \cdot (-9) = -27x \), \( -2 \cdot x = -2x \), \( -2 \cdot (-9) = 18 \)

Step3: Combine like terms

Combine the linear terms (\(-27x\) and \(-2x\)):
\( 3x^2 - 27x - 2x + 18 = 3x^2 - 29x + 18 \)

Answer:

\( 3x^2 - 29x + 18 \)