November 09, 2016
HW: Perfect Square Trinomials/22-52 even
(omit 44 and 46)
Warm up:
Simplify.
1) (x + 3)2
2) (x - 5)2
3) (2x - 6)2
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Multiply Polynomials.gsp
2
(a + b) =
2
(a - b) =
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How can we tell if a trinomial is a perfect square
trinomial?
1) First term is a perfect square
2) Last term is a perfect square
3) The middle term is twice the product of the
square roots
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2
x + 12x + 36
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2
x - 8x + 16
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2
9x - 12x + 4
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2
8x + 8x + 2
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HW Solutions
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Factor each trinomial if it is a perfect square. If
not, write not a perfect square.
1) p2 - 14p + 49
2) 121 - 22u + u2
5) 4s2 - 36st + 81t2
6) a2b + 6ab2 + 9b3
3) 4x2 + 9 + 12x
4) 25x2 - 15xy + 36y2
7) (x+1)2 - 2(x+1) + 1
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2
u - 2u + 1 - v
2
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Factor.
1) 5x2y - 15x5y9
2) x2 - 9
3) 4x2 + 6x + 9
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Things to look for while factoring
- Greatest Common Monomial Factor
- Difference of Two Squares
- Perfect Square Trinomial
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3
12x - 108x
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4
3
2
45x y - 180x y + 180x y
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1) 9 - 72m + 144m2
5) 121 - 33n2 + 9n4
2) 36p4 - 48p3 + 16p2
6) 16x4 - 81y8
3) x6 + 10x3 + 25
7) x3 - 64x
4) p2q2 - 12pq + 36
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1) 9 - 72m + 144m2
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2) 36p4 - 48p3 + 16p2
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3) x6 + 10x3 + 25
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4) p2q2 - 12pq + 36
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5) 121 - 33n2 + 9n4
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6) 16x4 - 81y8
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7) x3 - 64x
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