Expanding Polynomials
Expand:
2(x + 1)
2x + 2
Write 12 as a product of primes
22 x 3
Determine the GCF of 12 and 18
6
Determine the LCM of 6 and 8
24
4pqr - 2pqs + 8pqt
2pq (2r - s + 4t)
Expand:
2x(3x + 4)
6x2 + 8x
Write 28 as a product of primes
22 x 7
Determine the GCF of 24 and 60
12
Determine the LCM of 4 and 10
20
x2 + 18x + 81
(x + 9) (x + 9) OR (x + 9)2
Expand and simplify:
(-3x + 2)2
9x2 -12x + 4
Write 51 as a product of primes
3 x 17
Determine the GCF of 36, 42, and 60
6
Determine the LCM of 6, 14, and 18
126
25x2 - 49y2
(5x + 7y) (5x - 7y)
Expand and simplify:
(5x - 1)(2x - 1)
10x2 -7x + 1
Write 96 as a product of primes
25 x 3
Determine the GCF of 56, 70, and 84
14
Determine the LCM of 14, 28, and 32
224
2x2 - 11x + 5
(2x - 1) (x - 5)
A small rectangle with dimensions (2x) by (x+2) is inside a larger rectangle with dimensions (4x+6) by (2x-3).
Write and simplify the polynomial that represents the area between the rectangles.
Hint: draw a diagram first
6x2 -4x -18
Write 200 as a product of primes
23 x 52
Jane is campaigning for class president and plans to distribute 20 flyers, 16 buttons, and 48 lollipops. She wants each classroom to receive an identical set of materials, without having any leftovers. What is the greatest amount of classrooms Jane can distribute materials to?
4 classrooms
Lee is packing equal numbers of apple slices, grapes, and blueberries for snacks. Lee bags the apple slices in groups of 18, grapes in groups of 9, and blueberries in groups of 12. What is the smallest number she can pack?
36 packs
12x3 + 2x2 - 30x - 5
(2x2 - 5) (6x + 1)