Multiplying Polynomials using Area Models - Concept

Concept Concept (1)

Long division can be used to divide a polynomial by another polynomial, in this case a binomial of lower degree. When dividing polynomials, we set up the problem the same way as any long division problem, but are careful of terms with zero coefficients. For example, in the polynomial x^3 + 3x + 1, x^2 has a coefficient of zero and needs to be included as x^3+ 0x^2+3x+1in the division problem.

Sample Sample Problems (4)

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Multiplying Polynomials using Area Models - Problem 1

Multiply (3x + 1)(x − 2) using an area model.

Problem 1
How to multiply 2 binomials using an area model.
Multiplying Polynomials using Area Models - Problem 2

Multiply:

(2x − 4)(-3x² + 5x − 6)
Problem 2
How to multiply a binomial and a trinomial using an area model.
Multiplying Polynomials using Area Models - Problem 3

Multiply:

(a² + 2a + 3)(a² − 4)
Problem 3
How to multiply two trinomials using an area model.
Multiplying Polynomials using Area Models - Problem 4
Problem 4
An area, or geometric model for multiplying polynomials is explored through a "rectangle" or "box" method of organizing terms.