DAILY CHECK Complex roots.

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DAILY CHECK Complex roots

1C.6 – Writing Polynomials Given the Roots

***Remember: Complex zeros come in pairs!!!*** Steps: 1. Write each ZERO AS A FACTOR. x=#, and move the # to the other side put in ( ) 2. MULTIPLY each factor together [distribute]. Check that the degree matches the number of zeros you had to begin with! 3. Plug function into calculator and check for rational roots in table! ***Remember: Complex zeros come in pairs!!!***

Find the polynomial with the given roots:

Find the polynomial with the given roots: ***You always want to multiply the radicals or imaginaries together FIRST!

Find the polynomial with the given roots: ***You always want to multiply the radicals or imaginaries together FIRST!

Find the polynomial with the given roots:

Finding the Intersection of Polynomials Algebraically by Substitution

Steps: 1. Make sure at least ONE equation is equal to Y. 2. SUBSTITUTE one equation into the other. 3. Set the equation EQUAL TO 0. 4. Solve for X by FACTORING AND SOLVING. 5. Plug each X into one of the equations, and SOLVE FOR Y. 6. Write as ORDERED PAIRS (X, Y).

Ex 6 - Find the intersection using substitution.

Ex 7 - Find the intersection using substitution.

Ex 8 - Find the intersection using substitution.