Factoring Polynomials by Groups

Find the factors of

3b² + 17b + 20

• (2b - 5)(b - 7)

• (5b - 7)(b - 2)

• (b + 5)(3b + 4)

• (3b + 5)(b + 4)

Find the factors of

5n² + 11n - 12

• (n - 4)(5n + 3)

• (5n - 4)(n + 3)

• (2n - 9)(n - 8)

• (3n + 10)(n + 10)

Find the factors of

2m² + 11m + 12

• (2m + 3)(m - 4)

• 2(m + 3)(m - 2)

• (2m + 3)(m + 4)

• (2m - 3)(m + 4)

Find the factors of

2x² + 21x + 10

• (2x + 1)(x + 10)

• (3x + 10)(x - 6)

• 2(x + 1)(x + 5)

• 2(x + 1)(x - 10)

What method should you use to factor the polynomial?

5n³-10n²+3n-6

• Factor by Grouping

• Factor out the GCF

• Difference of Squares

• Master Product

8r³ - 16r²

• 4r²(2r - 4)

• 8r²(r - 2)

• 8(r³ - r²)

• 4(r³ - 2r²)

A rectangle has an area of 2x² – 19x +45 ft². What are the dimensions of the rectangle?

• (2x - 9)(x - 5)

• (2x + 9)(x + 5)

• (2x - 5)(x - 9)

• (2x - 5)(x + 9)

Factor completely:

9m² + 30mn + 25n²

• (3m + 5n)²

• (3m - 5n)²

• (3m + n)²

• (m + 5n)²

Factor 2x² + 4x – 3x – 6 by grouping. Remember to look for Standard Form, then for common factors.

• (2x – 3)(x + 2)

• 2x² + x - 6

• (2x + 3)(x - 2)

Which function is equivalent to: h(x)= 3x² + 10x - 8?

• h(x)=(3x + 2)(x + 4)

• h(x)=(7x + 5)(x + 2)

• h(x)=(3x - 2)(x + 4)

• h(x)=(7x - 3)(x - 4)