Classifying Polynomials
Write the polynomial in standard form: -7 - 3x3+ 4x5 +2x2
4x5 - 3x3 + 2x2 -7
Find the zeros of the function: y = (x - 3)(x + 2)
-2, 3
Which special points on graphs will help you to find its zeros?
The X-intercepts
Classify the polynomial by the number of terms (provide the name): x3 + 2
Binomial
What does zero's of a function mean?
Zero's mean that the x-values make the expression =0
Sketch a graph of a polynomial that has two zeros.
a parabola whose vertex is below the x axis
Classify the polynomial by degree (provide the name): 5x3 - 3x + 12
Cubic
Find the zeros of the function: y = x(x + 1)(x - 7)
-1, 0, 7
Draw a polynomial graph that has no real zeros.
Dr. Favors will determine.
Classify the polynomial by degree and number of terms (provide the names): -2x4
Quartic monomial
Write a polynomial function in standard form with the given zeros: 5, 4
x2 - 9x + 20
Sketch a graph of a polynomial that has five zeros.
Dr. Favors will determine.
Write in standard form, then classify the polynomial by degree and number of terms (provide the names): 3x3 + 8 - x3 - 7x2
2x3 - 7x2 + 8; cubic trinomial
Write a polynomial function in standard form with the given zeros: 1, -1, -2
x3 + 2x2 - x - 2
Explain why finding a zero is the same as finding an x-intercept
Because the x-intercept is the value of x that makes the expression = 0