Algebra 2 Unit 6 Lesson 5

7) Find the roots of the polynomial equation (2x+3)(3x-5)=0

- 5/3 - (-3/2)

8) Find the real roots of y=x'3-3x'2+x-3 by inspecting the graph: Left down right side up

3

1) Choose the best answer. To find the roots of a polynomial, it is often useful to find the ____ of the polynomial.

Factors

9) Choose the best answer. Given the equation, y=x'2+4, the range, or y-values, will always be greater than or equal to 4, and the graph will never intersect the x-axis. What will be the nature of the roots of y=x'2+4

No real roots

3) Choose the best answer. _____ number roots of a polynomial are the points where the graph of the related polynomial function crosses the x-axis.

Real

2) Choose the best answer. Roots of a polynomial are the values that make the polynomial equal to ___.

Zero

root of a polynomial

a value for the variable of a polynomial that makes the polynomial equal to zero

4 ) Choose the best answer. If abc=0, then ___.

a=0 or b=0 or c=0

10) What is f(g(x))? f(x)=3x+5 and g(x)=5x-1

f(g(x))=15x+2

6) Where does the graph of the polynomial function, f(x)=x'2+5x+6, cross the x-axis?

x= -2, -3

5) Choose the correct roots of the polynomial equation. x'3+4x'2-11x-30= (x+2)(x-3)(x+5)=0

x=-2,3,-5

12)Use the quadratic formula x=-b±√b²-4ac/2a to find the roots of the quadratic equation. y=x²+x+1

x=-½±i√³/₂

11) Multiply the matrices. |1,2,3| |3| |1| |-1|

|2|