Algebra I Fundamentals : Special Cases

Match the given factor with its perfect square:

1-1, 2-4, 3-9, 4-16, 5-25, 6-36, 7-49, 8-64, 9-81, 10-100, 11-121, 12-144

Factor 0.04m2 - n2.

(0.2m - n)(0.2m + n)

Factor 1 - 2.25x8.

(1 + 1.5x 4)(1 - 1.5x 4)

Factor 4a2 - 25.

(2a - 5)(2a + 5)

Factor completely and then place the factors in the proper location on the grid. 4n2 + 28n + 49

(2n + 7) 2

Factor this expression completely and then place the factors in the proper location on the grid. 9a4 - b2

(3a2 + b) (3a2 - b)

Factor 9y2 - 12y + 4.

(3y - 2) 2

Factor completely and then place the factors in the proper location on the grid. 25a2 - 30a + 9

(5a - 3) 2

Factor completely and then place the factors in the proper location on the grid. 36x2 + 60x + 25

(6x + 5) 2

Factor this expression completely and then place the factors in the proper location on the grid. 36y2 - 1

(6y + 1) (6y - 1)

The area of a square is found by squaring one of its sides, (A = s2). A certain square has an area of z2 + 18z + 81. Factor the trinomial to find a side of the square.

side = z + 9

The volume of a rectangular box is found by multiplying its length, width, and height: V = lwh. A certain box has a volume of b3 + 3b2 - 4b - 12. Factor the four-term polynomial to find the dimensions of the box. Hint: Use factoring by grouping to factor the four term polynomial first.

b + 3; b + 2; b - 2

Factor x10 - y2.

(x5 - y) (x5 + y)

Factor 64 - x2.

(8 + x)(8 - x)

Factor this expression completely and then place the factors in the proper location on the grid. x2 - 9

(x + 3) (x - 3)