Factoring Polynomials with Four Terms

Factor 28x² + 63x + 12x + 27 by grouping. Remember to look for common factors first.

• (4x + 3)(7x + 9)

• (7x + 3)(4x + 9)

• (3x + 7)(4x + 9)

• (9x + 4)(3x + 7)

Factor 4y³ + y + 12y² + 3 by grouping. Remember to look for common factors first.

• 4y²(y + 3) + 3

• 4y³ + 12y² + y + 3

• (4y² + 1)(y + 3)

Factor 2x² + 4x – 3x – 6 by grouping. Remember to look for common factors first.

• (2x – 3)(x + 2)

• 2x² + x - 6

• (2x + 3)(x - 2)

Factor x³ – 2x – 4x² + 8 by grouping. Remember to look for common factors first.

• x³ - 4x² - 2x + 8

• (x – 4)(x² – 2)

• (x – 2)(x² – 4)

Mathematical Equivalence

ON

Factor 2x⁹ + 8x⁸ + 3x⁴ + 12x³ by grouping. Remember to look for common factors first.

• (x³)(2x⁵ + 3)(x + 4)

• (2x⁸ + 3x³)(x + 4)

• (2x⁵ + 3)(x⁴ + 4x³)

Factor p³ - 3p² - 16p + 48

• p² ( p - 3) (p - 3)

• (p² - 16) (p - 3)

• (p + 4) (p - 4) (p - 3)

Factor by grouping:

5n³-10n²+3n-6

• (5n²+3)(n-2)

• (5n³+3)(n-2)

• (5n²-3)(n-2)

• 10n(n²-6)

What factoring method involves 4 terms and using GCF's?

• Greatest Common Factor

• Factor by Grouping

• Factoring Trinomials with a 1 in front (X-puzzle)

• Factoring Trinomials with a number in front (A*C X Puzzle)

Factor the polynomial.

• (3x² + 1) (4x - 3)

• (3x² - 1) (4x + 3)

• (4x² + 1) (3x - 3)

• (4x² - 1) (3x + 3)