Write the polynomial whose product and sum of whose zeroes are 4 and 6 respectively.
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Given : polynomial, the product and sum of whose zeroes are 4 and 6 respectively.
To Find : the polynomial
Solution:
polynomial can be expressed
as a( x² -( Sum of zeroes )x +( product of zeroes) ) where a ≠ 0
product of zeroes = 4
Sum of zeroes = 6
Hence polynomial
p(x) = a ( x² - 6x + 4 )
few examples
P(x) = x² - 6x + 4
or
2x² - 12x + 8
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