Excellent Exponentials
Simplify (2y)3 * (3y2)5
1,944y13
(3x+5)(4x-2)
12x2 + 14x - 10
This is the factored form of the polynomial 14x5 + 8x4 - 18x3.
2x3(7x2 + 4xy - 9z)
Identify the vertex and zero(s) of
f(x)=x2-4x-21
vertex: (2, -25)
zeros: x=-3, x=7
Solve 14d2 + 49d = 0. Round to the nearest tenth, if necessary.
d = 0, -3.5
Simplify (3a-2)3 / (bc-3)3
27c9/a6b3
(3x2 + 2x - 5) + (x3 + x2 - 2x - 7).
x3 + 4x2 - 12
This is the factored form of the polynomial 3x2 + xy - 12x - 4y.
(3x + y)(x - 4)
Solve x2-16x+64=0 BY GRAPHING.
x=8
Solve 16x2 - 9 = 0. Express your answer(s) as a fraction(s).
x = -3/4, 3/4
Solve the equation: 5 = 56x-4
x = 5/6
(3x2 + 2x - 5) - (x3 + x2 -2x - 7).
-x3 + 2x2 + 4x + 2
This is the factored form of the polynomial 2x2 - 14x + 20.
2(x - 2)(x - 5)
Solve x2+12x=-32 BY GRAPHING.
x=-8, x=-4
Solve 2x + x2 = 35. Round to the nearest tenth, if necessary.
x = -7, 5
Complete a table of values using the domain {-2, -1, 0, 1, 2} for the following exponential equation. Then graph the equation.
y = 2(1/2)x
Graph should show an exponential decay function passing through the points {(-2, 8), (-1, 4), (0, 2), (1, 1), (2, 1/2)}.
(x + 3)(x - 3)(x + 4).
x3 +4x2 - 9x - 36
This is the factored form of the polynomial 6z2 + 11z + 4.
(3z + 4)(2z + 1)
Graph the related function of
x2-10x=-21 to find its roots.
x=3, x=7
Solve 16x2 - 4x - 6 = 0. Express your answer(s) as a fraction(s).
x = -1/2, 3/4
You deposit $1,000 into a savings account that earns 2% interest compounded monthly. Find the balance after 10 years. (Hint: A = P(1+r/n)nt)
$7,268.25
(5y3)(-10y2 + y + 2) - 2y4 + 7
-50y5 + 3y4 + 10y3 + 7
This is the factored form of the polynomial 18x2 - 98y2.
2(3x + 7y)(3x - 7y)
State at least 2 transformations from the parent function of
f(x)=x2 to the function g(x)=-2x2+5
- reflection over the x-axis (negative a value)
- vertical stretch by a factor of 2
- translation up 5 units
Solve 3k2 + 2 = -8k. Round to the nearest tenth, if necessary.
k = -2.4, -0.3