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Question 682325: Factor the Following Quadratics
1. a2 + 4ab - 3b2
A . (a - 3b)(a - b)
B. (a - b)(a + 3b)
C. cannot be factored
D. (a + b)(a + 3b)
E. a(a + 4b) -3(-b)
F. (a + b)(a - 3b)
2. 2a^2-32
A. 2(a^2 - 18)
B. 2(a - 4)^2
C. (2a - 16)(a + 2)
D. 2(a^2 - 16)
E. 2(a - 4)(a + 4)
F. cannot be factored
3. m2 + (5/12)m - (1/6)
A. (m - 6)(m + 1)
B. (m - 2/3)(m - 1/4)
C. cannot be factored
D. (m - 1/4)(m + 2/3)
E. (m/12 + 2)(m/12 - 3)
F. (m - 1/4)(m - 1/3)
4. a2 + 4a + 21
A (a + 7)(a - 3)
B. a(a + 4) + 21
C. (a + 21)(a - 1)
D. (a + 3)(a - 7)
E. (a + 7)(a + 3)
F. cannot be factored
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! Factor the Following Quadratics
1. a2 + 4ab - 3b2
A . (a - 3b)(a - b)
B. (a - b)(a + 3b)
C. cannot be factored
Are A, B & C the only choices? If so, multiply the 2 binomials in A & B and see if they fit. If they don't, it's C.
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D. (a + b)(a + 3b)
E. a(a + 4b) -3(-b)
F. (a + b)(a - 3b)
Are A to F the only choices? If so, multiply the 2 binomials in A, B, D, E & G and see if they fit. If they don't, it's C.
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Do the others the same way.
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2. 2a^2-32
A. 2(a^2 - 18)
B. 2(a - 4)^2
C. (2a - 16)(a + 2)
D. 2(a^2 - 16)
E. 2(a - 4)(a + 4)
F. cannot be factored
3. m2 + (5/12)m - (1/6)
A. (m - 6)(m + 1)
B. (m - 2/3)(m - 1/4)
C. cannot be factored
D. (m - 1/4)(m + 2/3)
E. (m/12 + 2)(m/12 - 3)
F. (m - 1/4)(m - 1/3)
4. a2 + 4a + 21
A (a + 7)(a - 3)
B. a(a + 4) + 21
C. (a + 21)(a - 1)
D. (a + 3)(a - 7)
E. (a + 7)(a + 3)
F. cannot be factored
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