Roots Of Polynomials

Question 1

In the form,
When a =1, what is the sum of the roots? What is the product of the roots?

Answer 1

Question 2

If alpha and beta are the roots of a quadratic, write the equation I’m terms of alpha beta

Answer 2

Question 3

Answer 3

If ā is the root of a quadratic equation with real coefficients and ā is a complex number, then the other root must be it’s complex conjugate (ā)*.

Question 4

Answer 4

Question 5

Sum of roots and products of roots when a!=1

Answer 5

Question 6

Answer 6

Question 7

Answer 7

Question 8

Answer 8

Question 9

Answer 9

Question 10

Answer 10

Question 11

Answer 11

Question 12

Answer 12

Question 13

What are the scenarios of the roots of a cubic graph (complex and real)?

Answer 13

Complex roots always occur in a pair

Question 14

What is the roots of cubics shortcuts?

Answer 14

Question 15

Answer 15

Question 16

Solve using shortcuts

Answer 16

Question 17

Solve using subtraction method

Answer 17

Question 18

What are the 3 potential outcomes for the roots of quartics ?

Answer 18

Question 19

What are the 3 potential outcomes for the roots of quartics ?

Answer 19

Question 20

What is the relationship between quartics Co efficient and roots

Answer 20