098 Factors, Roots and Zeros

Last updated about 5 years ago

13 questions

098 Factors, Roots and Zeros

Last updated about 5 years ago

13 questions

Bell Assignment:

Question 1

describe the end behavior of:

Question 2

Choose all that are true about [1]:

odd

There is a zero at x=5.

There are two maxima.

positive

even

negative

There are 5 zeros.

There is a maximum at x=0.

Question 3

If you are told that f(x) has an x-intercept of 5. What do you know about the factors, roots and zeros?

Choose all that are true.

there is a factor of (x-5)

There is a root at x=5.

there is a factor of (x+5)

There is a zero at x=5.

Notes L5-7: Factors Roots and Zeros

Question 4

For [4] - [9]: We will solve x^{3}+2x=0, using f(x)=x^{3}+2x

Factor f(x).

Question 5

How many real solutions will f(x)=0 have?

Question 6

What is the degree of f(x)?

Question 7

How many complex (real and imaginary) solutions will f(x)=0 have?

Question 8

Since you know how many real zeros, and how many complex zeros, how many imaginary solutions will f(x)=0 have?

Question 9

State complex solutions (real and imaginary) of f(x)=0.

Question 10

10.

Write f(x) as a product of all three factors.

Question 11

11.

Solve x^{3}+12x^2+32x=0, using g(x)=x^{3}+12x^2+32x

Factor g(x)

Question 12

12.

State complex solutions - real and imaginary- of g(x)=0.

Question 13

13.

How many solutions did you find? How do you know there are no others?

Bell Assignment:

Question 1

describe the end behavior of:

Question 2

Choose all that are true about [1]:

odd

There is a zero at x=5.

There are two maxima.

positive

even

negative

There are 5 zeros.

There is a maximum at x=0.

Question 3

If you are told that f(x) has an x-intercept of 5. What do you know about the factors, roots and zeros?

Choose all that are true.

there is a factor of (x-5)

There is a root at x=5.

there is a factor of (x+5)

There is a zero at x=5.

Notes L5-7: Factors Roots and Zeros

Question 4

For [4] - [9]: We will solve x^{3}+2x=0, using f(x)=x^{3}+2x

Factor f(x).

Question 5

How many real solutions will f(x)=0 have?

Question 6

What is the degree of f(x)?

Question 7

How many complex (real and imaginary) solutions will f(x)=0 have?

Question 8

Since you know how many real zeros, and how many complex zeros, how many imaginary solutions will f(x)=0 have?

Question 9

State complex solutions (real and imaginary) of f(x)=0.

Question 10

10.

Write f(x) as a product of all three factors.

Question 11

11.

Solve x^{3}+12x^2+32x=0, using g(x)=x^{3}+12x^2+32x

Factor g(x)

Question 12

12.

State complex solutions - real and imaginary- of g(x)=0.

Question 13

13.

098 Factors, Roots and Zeros

098 Factors, Roots and Zeros

Bell Assignment:

describe the end behavior of:

Choose all that are true about [1]:

If you are told that f(x) has an x-intercept of 5. What do you know about the factors, roots and zeros?Choose all that are true.

Notes L5-7: Factors Roots and Zeros

For [4] - [9]: We will solve x^{3}+2x=0, using f(x)=x^{3}+2xFactor f(x).

How many real solutions will f(x)=0 have?

What is the degree of f(x)?

How many complex (real and imaginary) solutions will f(x)=0 have?

Since you know how many real zeros, and how many complex zeros, how many imaginary solutions will f(x)=0 have?

State complex solutions (real and imaginary) of f(x)=0.

Write f(x) as a product of all three factors.

Solve x^{3}+12x^2+32x=0, using g(x)=x^{3}+12x^2+32xFactor g(x)

State complex solutions - real and imaginary- of g(x)=0.

How many solutions did you find? How do you know there are no others?

Bell Assignment:

describe the end behavior of:

Choose all that are true about [1]:

If you are told that f(x) has an x-intercept of 5. What do you know about the factors, roots and zeros?Choose all that are true.

Notes L5-7: Factors Roots and Zeros

For [4] - [9]: We will solve x^{3}+2x=0, using f(x)=x^{3}+2xFactor f(x).

How many real solutions will f(x)=0 have?

What is the degree of f(x)?

How many complex (real and imaginary) solutions will f(x)=0 have?

Since you know how many real zeros, and how many complex zeros, how many imaginary solutions will f(x)=0 have?

State complex solutions (real and imaginary) of f(x)=0.

Write f(x) as a product of all three factors.

Solve x^{3}+12x^2+32x=0, using g(x)=x^{3}+12x^2+32xFactor g(x)

State complex solutions - real and imaginary- of g(x)=0.

How many solutions did you find? How do you know there are no others?

If you are told that f(x) has an x-intercept of 5. What do you know about the factors, roots and zeros?

Choose all that are true.

For [4] - [9]: We will solve x^{3}+2x=0, using f(x)=x^{3}+2x

Factor f(x).

Solve x^{3}+12x^2+32x=0, using g(x)=x^{3}+12x^2+32x

Factor g(x)

If you are told that f(x) has an x-intercept of 5. What do you know about the factors, roots and zeros?

Choose all that are true.

For [4] - [9]: We will solve x^{3}+2x=0, using f(x)=x^{3}+2x

Factor f(x).

Solve x^{3}+12x^2+32x=0, using g(x)=x^{3}+12x^2+32x

Factor g(x)