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I am able to solve a quadratic equation using complex numbers. I am able to add, subtract, multiply, and divide complex numbers. Solve the equation.

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Presentation on theme: "I am able to solve a quadratic equation using complex numbers. I am able to add, subtract, multiply, and divide complex numbers. Solve the equation."— Presentation transcript:

1 I am able to solve a quadratic equation using complex numbers. I am able to add, subtract, multiply, and divide complex numbers. Solve the equation.

2 I am able to solve a quadratic equation using complex numbers. I am able to add, subtract, multiply, and divide complex numbers. Solve the equation.

3 I am able to solve a quadratic equation using complex numbers. I am able to add, subtract, multiply, and divide complex numbers. Put in standard form. (a+ bi)

4 I am able to solve a quadratic equation using complex numbers. I am able to add, subtract, multiply, and divide complex numbers. Put in standard form. (a+ bi)

5 What’s the discriminant? What kind and number of solutions? (real, imaginary) I am able to find the discriminant of a quadratic equation and identify the number and type of solutions.

6 What’s the discriminant? What kind and number of solutions? (real, imaginary) I am able to find the discriminant of a quadratic equation and identify the number and type of solutions. 21; 2 real solutions

7 Use the quadratic formula to solve for x. I am able to solve quadratic equations using the quadratic formula.

8 Use the quadratic formula to solve for x. I am able to solve quadratic equations using the quadratic formula.

9 I am able to evaluate numerical expressions involving powers. I am able to simply expressions involving powers using the properties of exponents. Simplify.

10 I am able to evaluate numerical expressions involving powers. I am able to simply expressions involving powers using the properties of exponents. Simplify.

11 I am able to identify the end behavior and graph a polynomial function.

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13 I am able to identify and evaluate polynomial functions. Is this a polynomial function? If so, put it into standard form, state the degree, type, and leading coefficient.

14 I am able to identify and evaluate polynomial functions. Is this a polynomial function? If so, put it into standard form, state the degree, type, and leading coefficient.

15 I am able to add, subtract, and multiply polynomials. Find the product.

16 I am able to add, subtract, and multiply polynomials. Find the product.

17 I am able to completely factor a polynomial function using sum/difference of two cubes, difference of two squares, grouping, and/or trinomials methods. I am able to find all real number solutions to polynomials functions after factoring. Factor completely.

18 I am able to completely factor a polynomial function using sum/difference of two cubes, difference of two squares, grouping, and/or trinomials methods. I am able to find all real number solutions to polynomials functions after factoring. Factor completely.

19 I am able to completely factor a polynomial function using sum/difference of two cubes, difference of two squares, grouping, and/or trinomials methods. I am able to find all real number solutions to polynomials functions after factoring. Find the zeros.

20 I am able to completely factor a polynomial function using sum/difference of two cubes, difference of two squares, grouping, and/or trinomials methods. I am able to find all real number solutions to polynomials functions after factoring. Find the zeros. X=0, 2, -1, 6

21 I am able to divide polynomials using long division and/or synthetic division. I am able to use the Factor Theorem and Remainder Theorem to solve polynomial functions. Divide using long division.

22 I am able to divide polynomials using long division and/or synthetic division. I am able to use the Factor Theorem and Remainder Theorem to solve polynomial functions. Divide using long division.

23 I am able to divide polynomials using long division and/or synthetic division. I am able to use the Factor Theorem and Remainder Theorem to solve polynomial functions. Divide using synthetic division.

24 I am able to divide polynomials using long division and/or synthetic division. I am able to use the Factor Theorem and Remainder Theorem to solve polynomial functions. Divide using synthetic division.

25 I am able to use the Fundamental Theorem of Algebra to find the number of solutions to a polynomial function. I am able to use the Fundamental Theorem of Algebra to find all zeros of a polynomial function. Find all the zeros of the function.

26 I am able to use the Fundamental Theorem of Algebra to find the number of solutions to a polynomial function. I am able to use the Fundamental Theorem of Algebra to find all zeros of a polynomial function. Find all the zeros of the function.

27 I am able to use the Conjugates Theorem to write the equation of a polynomial function given the zeros. Write a polynomial function f with least degree that has rational coefficients, a leading coefficient of 1, and the given zeros.

28 I am able to use the Conjugates Theorem to write the equation of a polynomial function given the zeros. Write a polynomial function f with least degree that has rational coefficients, a leading coefficient of 1, and the given zeros.

29 I am able to use x-intercepts to graph a polynomial function. I am able to identify turning points of a polynomial functions to help graph the function. Graph the polynomial. Find the x-intercepts, the local max and local min.

30 I am able to use x-intercepts to graph a polynomial function. I am able to identify turning points of a polynomial functions to help graph the function. Graph the polynomial. Find the x-intercepts, the local max and local min.

31 I am able to write the equation of a higher-degree polynomial function given points that lie on the function. I am able to use a graphing calculator to find a polynomial function that fits given data points.

32 I am able to write the equation of a higher-degree polynomial function given points that lie on the function. I am able to use a graphing calculator to find a polynomial function that fits given data points.


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