Examples

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Last updated at April 16, 2024 by Teachoo

Example 4 Find a quadratic polynomial, the sum and product of whose zeroes are – 3 and 2, respectively. Let the polynomial be p(x) = ax2 + bx + c, Sum of zeroes = – 3 − 𝑏/𝑎 = – 3 Assuming a = 1 − 𝑏/1 = – 3 −b = −3 b = 3 Product of zeroes = 2 𝑐/𝑎 = 2 Assuming a = 1 𝑐/1 = 2 c = 2