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polynomial division box method (guided) score: 0/2 penalty: 1 off quest…

Question

polynomial division box method (guided)
score: 0/2 penalty: 1 off
question
fill in the missing values below one at a time to find the quotient when $9x^3 - 6x^2 - 29x - 14$ is divided by $3x + 2$.
notice
whats $3x^2$ times 2?
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Explanation:

Step1: Multiply the terms

We need to find the product of \(3x^{2}\) and \(2\). Using the rule of multiplying a monomial by a constant (multiply the coefficients and keep the variable part the same), we have:
\(3x^{2}\times2=(3\times2)x^{2}\)

Step2: Calculate the coefficient

Calculate \(3\times2 = 6\), so the product is \(6x^{2}\).

Answer:

\(6x^{2}\)