Linear Equations
What is the slope of (4, -2) and (-3, 5)?
-1
How many + sign changes are in
y = 6x4 - 3x3 + 5x2 - 7x + 12 (yes, list them all)
4, 2, 0
Factor 3x2+16x-12
(x+6)(3x-2)
If f(x) = 3x + 4 and g(x) = x2 + 2x - 5,
what is f(g(2)) = ?
13
Write a polynomial equation that has roots of -3, 2 and 4.
x3 - 3x2 - 10x + 24
What is the slope of (6, -2) and (-3, -2)?
0
How many + sign changes are in
y = -5x5 - 4x4+3x3 + 5x2 - 7x + 12
(yes, list them all)
3, 1
Factor 6x2+7x-5
(2x-1)(3x+5)
If f(x) = 3x + 4 and g(x) = x2 + 2x - 5 and h(x)= -2x, what is h(f(g(-1))) = ?
28
Write a polynomial equation that has roots of -3, 2/3 and 7/2.
6x3 - 7x2 -61x + 42
What is the slope intercept equation for a line with a slope of -2/3 and intersects (-6, 2)
y = -2/3x - 2
How many - sign changes are in
y = 6x4 - 3x3 + 5x2 - 7x + 12 (yes, list them all)
0
Factor 4x2 - 14x - 30
2(2x+3)(x-5)
If f(x) = 3x + 4 and g(x) = x2 + 2x - 5,
what is f(g(x)) = ?
3x2 + 9x - 11
What is the axis of symmetry equation, vertex and is it a max. or min of the following equation?
y = -2x2 + 6x - 4
x = -3/2
(-1.5, -17.5)
max
What is the slope intercept equation for a line parallel to 2x + 4y = -12 and intersects (-6, 2)?
y = -1/2x - 1
How many - sign changes are in
y = -5x5 - 4x4+3x3 + 5x2 - 7x + 12
(yes, list them all)
2, 0
Find the roots of 42x2 - 11x - 3 = 0
-1/6, 3/7
If f(x) = 3x + 4 and g(x) = x2 + 2x - 5,
what is f(g(x+2)) = ?
3x2 + 18x + 43
How many possible rational roots could there be from the following polynomial function: hint: p/q
y = -6x4 - 6x3 + 4x2 + 3x - 2
14
What is the slope intercept equation for a line perpendicular to 2x + 4y = -12 and intersects (-6, 2)?
y = 2x + 14
In y = -5x5 - 4x4+3x3 + 5x2 - 7x + 12
how many possible imaginary roots are there?
4, 2, 0
Find the roots of 18x2 - 35x + 12 = 0
4/9, 3/2
If f(x) = 3x + 4 and g(x) = x2 + 2x - 5 and h(x)= -2x, what is h(f(g(x-1))) = ?
-6x2 - 18
Name all of the roots, (both real and imaginary), for the following polynomial.
y = 2x4 + 5x3 - 4x2 + 20x - 48
3/2, -4, +2i, -2i