Lesson Plan

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

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