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4 cards from this section. Quick, good the night before a test.
Identify the degree of the polynomial 4x² + 2x + 1.
Look for the highest power on x.
Determine if p(x) = 3x + 1 is linear, quadratic, or cubic.
Check the exponent of the variable.
What is the degree of the polynomial p(x) = 5x² - 3x + 2?
Look at the term with the highest exponent.
True or False: A quadratic polynomial can have 3 zeroes.
Consider the degree of the polynomial.
Given the polynomial p(x) = 2x³ - 4x² + 3x, find its zeroes and explain their significance.
Think about factoring first, and if the quadratic doesn’t have real solutions, consider graphs.
Construct a cubic polynomial with specific conditions: sum of roots = 6, product of roots = -8, and describe its zeroes geometrically.
Use Vieta's relations: the sum of zeroes relates to the coefficients.
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