Polynomials
Degree, zeros, factorisation, remainder theorem, factor theorem and identities.
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Take a full mock →Q1 · Polynomials · MEDIUM
If α and β are the zeroes of the polynomial p(x) = 2x² – 5x + 3, then the value of (1/α) + (1/β) is:
Q2 · Polynomials · HARD
A cubic polynomial p(x) = x³ – 6x² + 11x – 6 has three zeroes. If two of the zeroes are 1 and 2, then the third zero is:
Q3 · Polynomials · EASY
What is the degree of the polynomial p(x) = 4x³ – 2x² + 7x – 5?
Q4 · Polynomials · EASY
If p(x) = x² – 5x + 6, then the value of p(2) is:
Q5 · Polynomials · MEDIUM
If α and β are the zeroes of the polynomial p(x) = x² – 7x + 12, then the value of α² + β² is: