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5 cards from this section. Quick, good the night before a test.
Identify the degree of the polynomial: P(x) = 5x² + 3x - 1.
Look for the highest exponent of x.
Is P(x) = 7 a polynomial? If so, what is its degree?
Consider if it has any variable part.
What is the degree of the polynomial P(x) = 8x² - 6x + 1?
Look for the term with the highest power of x.
True or False: A constant polynomial has no variable.
Think about the form of a constant polynomial.
Given the polynomial P(x) = 2x³ + 3x² - 2x + 1, determine its degree and classify it. Then, identify how many zeros it potentially has.
Identify the highest exponent and remember cubic behaviors regarding zeros.
Prove that the polynomial P(x) = 4x² - 3x + 7 does not cross the x-axis and therefore has no real roots.
Check the discriminant to verify root conditions.
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