Potpourri
In a basketball game, how many players from one team can be on the court at a time?
5
Answer the following using synthetic division:
(x2+5x+1) / (x+3)
x+2 + (-5/x+3)
Using the Factor theorem, determine if g(x) is a factor of f(x).
f(x)=x4+2x3+x+2
g(x)= x+1
Yes, (x+1) is a factor.
Evaluate each function at the given value.
f (x) = −x3 + 6x − 7 at x = 2
f(2)= -3
Use the remainder theorem to determine f(3) given
x3-4x2-2x+20
f(3) = 5
What city is the greatest university in the world in? Hint: What would Ms. Main say?...
Ann Arbor
Answer the following using synthetic division:
(2x3-11x2+9x-20) / (x-5)
2x2-x+4
Using the Factor theorem, determine if g(x) is a factor of f(x).
f(x)=x5-2x4+5x3-10x2+6x-12
g(x)=x+3
No, (x+3) is not a factor of f(x).
Evaluate each function at the given value.
f (a) = a3 + 3a2 + 2a + 8 at a = −3
f(-3)= 2
Use the factor theorem to find the zeros of the following equation: x3-8x2+17x-10, given the zero of 5
x = 5, 2, 1
What is the largest mammal?
Blue whale
Answer the following using synthetic division:
(2x3+4x2-3x-6)/ (x+3)
2x2-2x+3+ (-15/(x+3))
Use the Factor theorem to find the factors of:
f(x)=x3-4x2-4x+16, given the x value of -2
(x-4)(x-2)(x+2)
Evaluate the function at the given value
f (a) = a4 + 3a3 − 17a2 + 2a − 7 at a = 3
f(3)= 8
Use synthetic division to answer the following:
(x5-4x4+6x2-1)/(x-3)
x4-x3-3x2-3x-9+ (-28/(x-3))
What are the 5 Great Lakes?
Huron, Ontario, Michigan, Erie, Superior
Answer the following using synthetic division:
(x4+5x3-6x+3) / (x+3)
x3+2x2-6x+12+ (-33/(x+3))
Use the factor theorem to find the zeros of the equation 3x3+x2-20x+12 given the zero of 2/3
x = (2/3), -3, 2
Evaluate the function at the given value.
f (a) = a3 + 5a2 + 10a + 12 at a = −2
f(-2)= 4
Answer the following using synthetic division:
(10x3 + 10x2 - 7x) / (x+1)
10x2-7 + (7/(x+1))
Who is the most followed person on Instagram?
Cristiano Ronaldo
Answer the following using synthetic division:
(5x4+2x2-15x+10)/ (x+2)
5x3-10x2+22x-59+ (128/(x+2))
Use the factor theorem to determine the zeros of the equation 4x3+19x2+19x-6 given (x+2) is a factor.
x= -2, -3, (1/4)
Evaluate the function at the given value.
f (x) = x3 + x2 − 5x − 6 at x = 2
f(2)= -4
Use the Fundamental Theorem of Algebra to factor, solve, and name the roots (complex, real, imaginary):
x^2+10x+9x=-9, x=-1
2 complex roots
2 real roots
0 imaginary roots