Math, asked by dhruv7818, 11 months ago

B.) Find the zeroes of the polynomial p(x) = x³ + 4x²+x-6, if it is given that the product of two of it's
zeroes is 6.​

Answers

Answered by ayanruchi68
16
Product of all of its zeros = -(-6)/1 = 6
Given product of two of its zeros = 6
Therefore the third zero will be 6/6= 1
Also, putting x=-2 in the given expression we get the value of the polynomial becomes 0. Hence, another zero will be -2
Also we find that putting x=-3 in the given polynomial the value of the given polynomial becomes 0.
Hence, the zeros of the polynomial are 1,-2 and-3.
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