Question

study paths initial diagnostic: tx math bridge - stage 2 tx math bric exponents and polynomials progress: the movement of the progress bar may be uneven because questions can be worth more or less multiply: $(8x + 9)(3x^2 + x - 1)$ $\bigcirc$ $24x^3 + 8x^2 - 9$ $\bigcirc$ $24x^3 + 35x^2 + x - 9$ $\bigcirc$ $3x^2 + 9x + 8$ $\bigcirc$ $24x^3 + 35x^2 + 17x + 9$

Explanation:

Step1: Distribute \(8x\) to each term

\(8x(3x^2) + 8x(x) + 8x(-1) = 24x^3 + 8x^2 - 8x\)

Step2: Distribute \(9\) to each term

\(9(3x^2) + 9(x) + 9(-1) = 27x^2 + 9x - 9\)

Step3: Combine like terms

\(24x^3 + (8x^2 + 27x^2) + (-8x + 9x) - 9 = 24x^3 + 35x^2 + x - 9\)

Answer:

B. \(24x^3 + 35x^2 + x - 9\)