Roots vs Zeros

• This graph has two imaginary roots because it is a polynomial of degree two.
• This graph has two imaginary roots because it has one hump.
• This graph has two imaginary roots because it touches the x-axis at two points.
• This graph is imaginary because it the graph has shifted up.

What does the Fundamental Theorem of Algebra state about the roots of a polynomial?

• A polynomial of degree n can have more than n roots.

• A polynomial of degree n has exactly n roots, including complex roots.

• A polynomial of degree n has exactly n real roots.

• A polynomial of degree n cannot have complex roots.

What number is the ROOT in the problem shown?

• -3

• 0

• 2

• 1

• 1

• 2

• 3

• 4

What is another word for zeros?

• y-intercepts

• roots

• vertex

• axis of symmetry

Find the roots of this quadratic.

• b=4/5, b=3

• b=4, b=-3

• b=1/5, b=3

• b=4/5, b=-3

True or false:
The solutions, roots, x-intercepts, and zeros of a quadratic equation are all the same thing.

• True

• False, because the solution and root are the same but the x-intercept and zero are different

• False, because the x-intercept and root are the same but the zero and solution are different

• False, they are all different

Find the roots/zeros of x² + x - 2

• -1, 2

• -2, 1

What are the zeros of the quadratic function?
y = x² - 2x - 15

• x = -2
  x = -15

• x = -3
  x = 5

• x = 3
  x = -5

• x = 1
  x = -16

Find the zeros of the function above.

*remember to change n to x in Desmos*

• -4, 2

• -2, 4

• -16

• -4