grade 9 · A1-014

Multiply polynomial expressions

Distribute every term and combine like powers without losing signs.

Learn togetherFresh problem · seed 1035980604

Expand \((3x+4)(x+1)\).

Let's work it out together.

Work through one checkpoint at a time. Your answer area opens after the reasoning.

Checkpoint 1

Multiply each term in the first factor by each term in the second.
Checkpoint 2

The four partial products fill the area model.
Checkpoint 3

Combine the two x-terms.

\(3x^{2} + 3x + 4\)\(3x^{2} + 7x + 5\)\(3x^{2} + 7x + 4\)\(3x^{2} + 5x + 4\)