Factoring Expressions into Binomials

The area of a rectangular field is represented by 6x² + 19x + 15 square meters.  Determine the   dimensions of the field.

• 40

• 5x+8

• (2x+3) (3x+5)

• Can not be determined 

3v² - 4v - 7. When factoring by grouping, we need two numbers which multiply up to ___ and add up to ___

• 7, 3

• 21, 4

• 4, -7

• -21, -4

Which of the following expressions is NOT equivalent to 3x² + 18x +15

• 3(x² + 6x + 5)

• (3x + 15)(x + 1)

• 3(x + 5)(x + 1)

• (3x+5)(x+1)

Factor 18k + 42k²

• 3(6k + 14k²)

• 6(3k + 7k²)

• k(18 + 42k)

• 6k(3 + 7k)

• 11x(x - 3)

• 11x(x + 2)

• 11(x - 3)

• 11x(x + 3)

(2x - 1)(x + 2)

• 2x² + 3x - 2

• 2x² - 5x - 2

• 2x² + 3x + 2

• 2x² - 5x + 2

(x + 5)(x + 4)

• x² + x + 20

• x² + 20x + 9

• x² + 9x + 20

• x² - 9x + 54

What number can you factor out of the following equation before you factor into binomials?

• -30

• 5

• 40

• 5v

Which of the following expressions is NOT equivalent to 2x² + 12x + 16?

• (2x+4)(x+4)

• (2x + 4)(2x + 2)

• 2(x + 2)(x + 4)

• 2(x² + 6x + 8)

Which of the following is a correct rewriting or form of the binomial, x² - 169 ?

• (x + 13) (x - 13)

• (x + 13)²

• (x - 14) (x - 13)

• All of the above