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Sketching the graph of a polynomial using the zeros and multiplicity
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👉 Learn how to use the tools needed to graph a polynomial function in factored form.
A polynomial in factored form is when the polynomial is written as a product of its linear factors. Each linear factor represents an x-intercept and the power of the factor represents the multiplicity.
When graphing a polynomial in the factored form we can determine each x-intercept by setting each linear factor to zero and solving. The multiplicity of each factor will tell us if the graph bounces or crosses at each x-intercept. We then need to determine the end behavior by identifying the leading coefficient and degree of the polynomial.
Organized Videos:
✅Graph a Polynomial Function
✅Graph a Polynomial Function in Factored Form
✅Graph a Polynomial Function in Standard Form
Connect with me:
#polynomials #brianmclogan
A polynomial in factored form is when the polynomial is written as a product of its linear factors. Each linear factor represents an x-intercept and the power of the factor represents the multiplicity.
When graphing a polynomial in the factored form we can determine each x-intercept by setting each linear factor to zero and solving. The multiplicity of each factor will tell us if the graph bounces or crosses at each x-intercept. We then need to determine the end behavior by identifying the leading coefficient and degree of the polynomial.
Organized Videos:
✅Graph a Polynomial Function
✅Graph a Polynomial Function in Factored Form
✅Graph a Polynomial Function in Standard Form
Connect with me:
#polynomials #brianmclogan
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