Basic Algebra Skills
Solve for x
2x+5=17
x=6
Solve the equation by factoring 2x3-8x3-10x
2x(x+1)(x-5)
What transformations happen when f(x)=x2 is transformed to f(x)=(x+4)2+3?
Horizontal shift 4 units left and vertical shift 3 units upward.
Convert 135 degrees to radians
3pi/4 radians
Find the derivative
f(x)=3x4 + 2x3
f(x)=12x3+6x2
Express (x+3)2 as a trinomial in standard form.
x2+6x+9
what is the degree of the polynomial -> F(x)=3x3-4x2+7x+18?
3
What transformations happen when f(x)=x2 is transformed to f(x)=-3(x2+6)?
reflects across the x axis and horizontal shift 6 units to the left.
Convert 5pi/6 radians to degrees
150 degrees
Find the derivatives
f(x)=5x3+4x2
f(x)=15x2+8x
Factor 36x2-y4
(6x+y2)(6x-y2)
What are the roots(zeros) of the polynomial f(x)=x2-5x+6?
x=2 x=3
What does the transformation f(x)->f(x-3)+2 do to the graph of f(x)?
Translates 3 units to the left and 2 units up
Convert 270 degrees to radians
Find the Derivative
f(x)=6x3+2x2
f(x)=12x2+4x
Factor 4x6-y6
(2x3-y3)(2x3+y3)
what is the leading coefficient of the polynomial 3x³ + 2x² - 5x + 7 ?
leading coefficient=3
What does the transformation f(x)->-f(x+4)-1 do to the graph of f(x)?
Reflection over the x axis, 4 units to the right, 1 unit down
Convert the angle (30) from degrees to radians.
1 pi/6
Find the derivative of 12x6+3x5.
72x5+16x4
Express (x-4)2 as a trinomial in standard form.
x2-8x+16
Find the y-intercept of the polynomial function f(x)=2x3-4x2+x+1
(0,1)
What does the transformation of f(x)->f(x)=-2(x-3)2+5 to do the graph of f(x)?
Reflection across the x axis
Stretch the graph vertically by a factor of 2
3 units to the right
5 units to the right
convert the angle 1pi/2 from radians to degrees.
degree=90
Find the Derivative
f(x)=12x7+9x5
f(x)=84x6+45x4