Zeroes, relationship with coefficients, division algorithm, factor theorem.
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Q1 · Polynomials · MEDIUM
If α and β are the zeros of the polynomial x² - 5x + 6, then α + β equals:
Q2 · Polynomials · EASY
If p(x) = x² - 5x + 6, then p(2) equals:
Q3 · Polynomials · EASY
What is the degree of the polynomial 5x³ + 4x² - 7x + 9?
Q4 · Polynomials · HARD
If one zero of the polynomial (k² + 4)x² + 13x + 4k is reciprocal of the other, then k equals:
Q5 · Polynomials · MEDIUM
If α and β are the zeros of the polynomial p(x) = 3x² - 7x + 2, then the value of (1/α + 1/β) is: