5.1
Write the quadratic function in vertex form.
y=x^2+4x
y= (x+2)^2-4
Find the x-interept(s):
f(x)= 3(x+2)(x-3)(x+5)
(-2.0), (3,0), (-5,0)
Divide: x^2 +4x+1/x-2
Remainder: 13
Use the Reminder Theorem to find the remainder:
(x^4 -1)/(x-4)
255
What is the vertical asymptote of:
(x+2)/(x^2 -9)
x=3 and x=-3
Find the vertex:
y=x^2 -x
(1/2, -1/4)
Find the x-intercept(s):
f(x)= 2x(x-3)(x+1)^2
(0,0), (3,0), (-1,0)
Is x−1 a factor of x^3 -3x^2 -6x+10
yes
Find the real solutions: 2x^3 -7x^2- 10x+24
-4, -3/2, 2
What is the Horizontal asymptote of:
(x+2)/(x^2 -9)
y=0
Find the axis of symmetry:
f(x)=x^2 -2x
x=1
Use the Intermediate Value Theorem to determine whether the given polynomial has at least one zero within the given interval.
f(x)=x^3 -9x between x=-4 and -2.
Yes, there is at least one zero between x = -4 and x = -2.
What is the divisor in synthettic division of x^2+3x+1 and x-1 is a factor
1
List all possible rational zeros of:
-6x^4 +10x^2 +13x +1
+/- 1, 1/2, 1/3, 1/6
Find the x-intercepts of:
(x+2)/(x^2 -9)
(-2,0)
Find the x-intercepts:
f(x)=x^2 -2x
(0,0), (2,0)
How many x-intercepts can a degree-5 polynomial have at most?
5
If Remainder Theorem says f(2)=0, what does that mean?
x-2 is a factor
State the Remainder Theorem.
f(c)= the remainder when dividing by x−c
Find the y-intercept(s) of:
(x+2)/(x^2 -9)
(0, -2/9)