find a quadratic polynomial whose zeroes are 3 and -7/5
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Find the quadratic polynomial whose zeroes are 3 and-5
Answer : x² + 2x - 15.
Step by step explanation : Let one zero (3) be α ...
Sum of zeros = α + β = ( 3 + { - 5 } ) = - 2.
Product of zeros = αβ = { 3 x - 5 } = - 15. We know that,
p(x) = x² - ( α + β )x + αβ p(x) = x² - ( - 2 )x + ( - 15 ) ...
The quadratic polynomial whose zeroes are 3 and -5 is x² + 2x - 15.
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