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1. Classify: 3abc2 + 2a2bc
Opción 1
a) Trinomial of degree 2
Opción 2
b) Binomial of degree 2
Opción 3
c) Binomial of degree 3
Opción 4
d) None of them
2. (x3 + 2x2 - x + 1)·(x2 + x + 3) =
a) x5 + 3x4 + 4x3 + 6x2 - 2x + 3
b) x5 - 3x4 + 4x3 + 6x2 - 2x + 3
c) x5 + 12x4 - 4x3 + 6x2 - 2x + 3
3. Get the common factor to: 6x2y - 15xy2 + 3xy
a) xy·(6x - 15y + 1)
b) 3xy·(2x - 5y + 1)
c) 3xy·(2x - 5y)
4. Decompose: 4x2 -12x + 9
a) (x+3)2
b) (2x + 3)2
c) (2x - 3)2
5. If we divide x4 + 3x3 - x2 - 4x - 2 by x2 - 2, we obtain:
a) q = x2 + 3x + 1; r = 2x
b) q = x2 + 3x + 2; r = 3x
c) q = x2 - 3x + 1; r = 2
6. The remainder of the division; (x4 - 2x + 7):(x + 2) is:
a) 21
b) 23
c) 27
d) 0
7. If we divide x3 -2x2 +3x - 5 by x - 2, we obtain:
a) q = x2 - 3; r = 3
b) q = x2 + 3; r = 1
c) q = x2 - 1; r = 0
d) q = x2 - 3; r = 2
8. x⁴+3x³-4x =
a) x·(x + 1)·(x - 2)2
b) x·(x - 1)·(x + 2)2
c) x·(x - 1)2·(x + 2)
9. Simplify:
a) (x2 -1)/(x2 + 3x +2)
b) (x + 2)/(x + 1)
c) (x - 1)/(x + 2)
d) (x + 1)/(x + 2)
10.
a) (x + 2)/(x2 - x)
b) (x + 2)/(x2 + x)
c) (x - 2)/(x2 - x)
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