Cara Casner

Fordham University
Teacher

Biography

I have been teaching Math for 10 years. I love to help students understand concepts more deeply and help them to make connections.

Education

BS Mathematics
Fordham University

Educator Statistics

Numerade tutor for 4 years
155 Students Helped

Topics Covered

Mastering Exponents and Polynomials: A Comprehensive Guide
Mastering Polynomials: Essential Tips and Tricks | [Brand Name]
Rational Functions: Understanding Their Properties and Applications
Mastering Equations and Inequalities: Your Guide to Mathematical Success

Cara's Textbook Answer Videos

01:49
College Algebra

Graph each equation .Let $x=-3,-2,-1,0,1,2, and 3.
$$
y=x^{2}-2
$$

Chapter 1: Equations and Inequalities
Section 1: Graphs and Graphing Utilities
Cara Casner
02:01
College Algebra

Graph each equation .Let $x=-3,-2,-1,0,1,2, and 3.
$$
y=x^{2}+2
$$

Chapter 1: Equations and Inequalities
Section 1: Graphs and Graphing Utilities
Cara Casner
01:35
College Algebra

Graph each equation .Let $x=-3,-2,-1,0,1,2, and 3.
$$
y=x-2
$$

Chapter 1: Equations and Inequalities
Section 1: Graphs and Graphing Utilities
Cara Casner
01:43
College Algebra

Graph each equation .Let $x=-3,-2,-1,0,1,2, and 3.
$$
y=x+2
$$

Chapter 1: Equations and Inequalities
Section 1: Graphs and Graphing Utilities
Cara Casner
01:51
College Algebra

Graph each equation .Let $x=-3,-2,-1,0,1,2, and 3.
$$
y=2 x+1
$$

Chapter 1: Equations and Inequalities
Section 1: Graphs and Graphing Utilities
Cara Casner
1 2 3 4 5 ... 11

Cara's Quick Ask Videos

05:31
Algebra

a. Use synthetic division and the remainder theorem to find the indicated function value.
f(x) = x^3 - 7x^2 + 5x - 6; f(3)
a. -27
b. -6
c. -24
d. 27

2. Find the y-intercept.
f(x) = -2(x-4)^2(x^2-25)
a. y-intercept is 200
b. y-intercept is -800
c. y-intercept is -200
d. y-intercept is 800

3. Use the Intermediate Value Theorem to show that each polynomial has a real zero between the given integers.
f(x) = x^4 + 6x^3 - 18x^2, between 2 and 3
a. f(2) = 81; f(3) = -8
b. f(2) = -28; f(3) = 81
c. f(2) = -8; f(3) = 81
d. f(2) = -2; f(3) = 28

Cara Casner
07:33
Precalculus

Use polynomial long division to perform the indicated division.
Write the polynomial in the form p(x) = d(x)q(x) + r(x)
(a) (4x^2 + 3x - 1) ÷ (x - 3)
(b) (4x^2 - 2x - 23) ÷ (x^2 - 1)

2. Use synthetic division to perform the indicated division.
Write the polynomial in the form p(x) = d(x)q(x) + r(x)
(a) (3x^2 - 2x + 1) ÷ (x - 1)
(b) (x^3 + 8) ÷ (x + 2)

Cara Casner
05:15
Geometry

Round all answers to 3 decimal places.
If no answer exists, enter DNE for all answers.
Assume ∠A is opposite side a, ∠B is opposite
side b, and ∠C is opposite side c.
∠A = 111°, a = 33, b = 11.

Cara Casner
06:50
Precalculus

2. If cos(θ)=1/4 and θ is in the 4th quadrant, find the exact value for sin(θ).
sin(θ)=
3. If sin(θ)=1/3 and θ is in the 1st quadrant, find cos(θ)
cos(θ) =
Enter your answer as a reduced radical.
4. If θ=−11π / 6, then
sin(θ) =
cos(θ) =
Give exact values.

Cara Casner
05:16
Algebra

The top and bottom ends of a windshield wiper blade
are R = 38 in.
and r = 14 in., respectively, from the
pivot point. While in operation, the wiper sweeps through 135°.
Find the area swept by the blade. (Round your answer to the nearest
whole number.)

Cara Casner
03:44
Precalculus

Sketch the graph of the function by applying the Leading Coefficient Test, finding the real zeros of the polynomial, plotting sufficient solution points, and drawing a continuous curve through the points.

f(x) = x^3 - 16x

(a) Apply the Leading Coefficient Test.

The graph of the function rises to the left and rises to the right. The graph of the function rises to the left and falls to the right. The graph of the function falls to the left and rises to the right. The graph of the function falls to the left and falls to the right.

(b) Find the real zeros of the polynomial. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.)

x =

(c) Plot sufficient solution points.

x f(x)
-4
-2
-1
0
1
2
4

(d) Draw a continuous curve through the points.

Cara Casner
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