Question

find the quadratic polynomial whose sum and product of the zeros are 7/12 & 1/12

Answer 1

ɢɪᴠᴇɴ ᴛʜᴀᴛ,

find the quadratic polynomial whose sum and product of the zeros are 7/12 & 1/12.

ʟᴇᴛ,

⟹ Sum of the zeroes : α + ß = 7/12

⟹ Product of the zeroes : αß = 1/12

Form of quadratic polynomial is

${x}^{2} - ( \alpha + \beta )x + \alpha \beta = 0$

Substitute the zeroes

$⟹ {x}^{2} - ( \frac{7}{12})x + \frac{1}{12} = 0 \\ \\ ⟹ \frac{12 {x}^{2} - 7x + 1 }{12} = 0 \\ \\ ⟹12 {x}^{2} - 7x + 1 = 0 \times 12 \\ \\ ⟹12 {x}^{2} - 7x + 1 = 0$

Hence, it is solved....

Step-by-step explanation:

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