The Remainder and Factor Theorems Algebra homework help
1) How many possible positive zeros does the function below have?
f(x) = 3×3 Â- 2×2 + 4x + 1
a) 0
b) 0 or 2
c) 1 or 3
d) 0, 1, 2, or 3
2) How many possible negative zeros does the function below have?
f(x) = 4×3 – 6×2 + 8x – 5
a) 0
b) 0 or 2
c) 1 or 3
d) 0, 1, 2, or 3
3) How many real roots does the following equation have?
x4 Â- 81 = 0
a) 4
b) 2
c) 1
d) 0
4) How many imaginary roots are there in the equation below?
x3 + 9x = 0
a) 0
b) 1
c) 2
d) 3
5) The polynomial x3 – 4×2 – 29x – 24 has a factor of x – 8. Find the remaining factors.
a) (x – 3)(x – 1)
b) (x + 3)(x + 1)
c) (x – 1)(x + 67)
d) (x – 67)(x + 1)
6) The polynomial 3×3 + 10×2 Â- x Â- 12 has a factor of x + 3. Find the remaining factors.
a) (3x + 4)(x Â- 1)
b) (3x Â- 1)(x + 4)
c) (3x -Â 4)(x + 1)
d) (3x + 1)(x Â- 4)
7) If g(x) = 3×4 + x3 – 2×2 + x + 12, find g(-4).
a) 680
b) 816
c) 744
d) 880
8) If f(x) = -3×5 – x + 2×3 – 1, what is f(2)?
a) 15
b) 99
c) -25
d) -83
9) Solve.
a) 0
b) 2
c) -2
d) not enough information to tell
Solve.
10) 
a) 13
b) -4
c) 4
d) -13
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