Factoring Polynomials With Four Terms

Factor the polynomial 8x² + 10x - 7x - 9 by grouping.

• 2x(4x - 5) - 1(7x - 9)

• 2x(4x + 5) - 1(9 - 7x)

• 2x(4x + 5) - 1(7x + 9)

• 4x(2x + 5) - 1(7x - 9)

Factor the polynomial 9x² - 18x - 4x + 8 by grouping.

• 3x(3x - 2) - 4(3x - 2)

• 3x(3x - 2) - 4(3x + 2)

• 3x(3x + 2) - 4(3x - 2)

• 3x(3x - 2) + 4(3x - 2)

Mathematical Equivalence

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Factoring by grouping is used for polynomials with how many terms? Write your answer as a numerical answer with no words. For example, if your answer is 15, simply enter 15.

An expression with four or more terms.

• monomial

• binomial

• trinomial

• polynomial

• Given polynomial.

• Group terms with a common factor.

• Factor out each group’s common factor.

• Factor out the common binomial factor.

• Factor the difference of squares.

Which factoring techniques can you apply to factor the polynomial?

• Perfect Square Trinomial

• Factoring out the greatest common monomial

• Sum of cubes

• Difference of squares

• Factoring by grouping

A technique used to factor polynomials with four or more terms.

• Polynomial Function

• Remainder Theorem

• Factor Theorem

• Perfect Square Trinomial

• Factoring by Grouping

Determine its factored form

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