Question

1. multiply the polynomials. (7a + 2) (2a² − 5a + 3) enter your answer.

Explanation:

Step1: Distribute 7a

Multiply \(7a\) with each term in \(2a^2 - 5a + 3\):
\(7a \times 2a^2 = 14a^3\), \(7a \times (-5a) = -35a^2\), \(7a \times 3 = 21a\).

Step2: Distribute 2

Multiply \(2\) with each term in \(2a^2 - 5a + 3\):
\(2 \times 2a^2 = 4a^2\), \(2 \times (-5a) = -10a\), \(2 \times 3 = 6\).

Step3: Combine like terms

Add the results from Step1 and Step2:
\(14a^3 - 35a^2 + 21a + 4a^2 - 10a + 6\)
Combine \(-35a^2\) and \(4a^2\): \(-31a^2\)
Combine \(21a\) and \(-10a\): \(11a\)

Answer:

\(14a^3 - 31a^2 + 11a + 6\)