Question

Find the quadratic polynomial sum and product of whose zeroes are 8 and 12 respectively find other zeroes of the polynomial

Answer 1

Solution

(Remember)

➵ p(x) = k[x² - (a + ß)x + aß]

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Let a and ß be the zeros of polynomial

➵ a + ß = 8

➵ aß = 12

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➵ p(x) = k[x² - 8x + 12]

where k can stands for constant

number.

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➵ p(x) = k[x² - 8x + 12]

➵ p(x) = k[x² - 6x - 2x + 12]

➵ p(x) = k[(x - 2)(x - 6)]

Answer

Therefore other zeros are + 2, + 6.