ALGEBRA 2
Name:_________________________________ Date:_____________
Quadratic Equation: An equation with degree two (𝑥 2 ).

All quadratic equations have _______
solutions.
What values of x would satisfy the equation, 𝑥 2 = 1?
Solve the following equations by taking the square root.
1) 𝑥 2 + 1 = 10
2) 𝑥 2 − 4 = 14
3) −3𝑥 2 + 5 = 17
Cubic Equation: An equation with degree three (𝑥 3 ).


What values of x would satisfy the equation, 𝑥 4 = 1?
5th Degree Polynomial Equations: (𝑥 5 )

5
What values of x would satisfy the equation, 𝑥 = 1?
1 2
𝑥
2
= 12
All cubic equations have _______
solution.
What values of x would satisfy the equation, 𝑥 3 = 1?
4th Degree Polynomial Equations: (𝑥 4 )
4)
All 4th degree equations have _______
solutions.
All 5th degree equations have _______
solution.
In conclusion, EVEN degree polynomials have _______ solutions – (
) when taking the nth root.
ODD degree polynomials have _______ solution – take the sign of the constant when
nth root is isolated.
Solve the following equations using nth roots.
5) 2𝑥 4 = 162
6) (𝑥 − 3)3 = 8
7) 𝑥 5 = −32
8)
1 4
𝑥
2
= 16
9) (𝑥 + 2)6 = 64
Practice From Textbook: