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Multiplying a Polynomial by a Polynomial

Multiplying Polynomials

In previous lessons, we have looked at multiplying a polynomial by a monomial.

\(a(b + c)\)

\(=\)

\(a(b)\)

\(+\)

\(a(c)\)

A square is divided up into 2 unique rectangles using one vertical line.

\(=\)

The left rectangle has length b and width a.

\(+\)

The right rectangle has length c and width a.

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Lesson Goal

  • Apply the distributive property to multiply a polynomial by a polynomial.

Try This

Find a simplified expression for the area contained by the picture frame.

A rectangle is constructed with length of x squared plus x minus 3, and width of x squared plus 5x plus 6.