Learning Goal
Zeros from factored form and turning points
Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
- Lesson Plan →Objectives, pacing and practice, built from this lesson's brief.
- Guided Notes →One page your students fill in and keep.
- Exit Ticket →Three items at the end of class. No student accounts.
- Re-teach →After an exit ticket: who missed what, and what to do tomorrow.
- Homework →Assign practice; it grades itself.
**A 507.** Solve quadratic equations in the form (x + a)(x + b) = 0, where a and b are numbers or variables
**A 703.** Apply the remainder theorem for polynomials, that P(a) is the remainder when P(x) is divided by (x – a) — score range 33-36, lines 381-384
**F 509.** Find the range of polynomial functions — score range 24-27, lines 286-287
**AF 704.** Analyze and draw conclusions based on information from graphs in the coordinate plane — score range 33-36, lines 369-370
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A 507. Solve quadratic equations in the form (x + a)(x + b) = 0, where a and b are numbers or variables
A 703. Apply the remainder theorem for polynomials, that P(a) is the remainder when P(x) is divided by (x – a) — score range 33-36, lines 381-384
F 509. Find the range of polynomial functions — score range 24-27, lines 286-287
AF 704. Analyze and draw conclusions based on information from graphs in the coordinate plane — score range 33-36, lines 369-370
What you'll learn
- Sketch a polynomial from its factored form by combining its zeros, their multiplicities, and its end behavior
- Find the zeros of a polynomial in factored form by the zero-product principle, and explain why they are the graph's $x$-intercepts
- Determine each zero's multiplicity from the exponent on its factor, and predict from its parity whether the graph crosses or touches the $x$-axis there
- State that a degree-$n$ polynomial has at most $n$ real zeros, counting distinct zeros separately from multiplicity
- Write a possible factored-form equation from a graph showing labelled $x$-intercepts
Slides
Step through the lesson, or watch it as a narrated video
Slides
In development
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