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Given :-
• The 1 and -2 are two zeroes of the cubic polynomial.
• The cubic polynomial is x^3 - 4x^2 - 7x + 10
Solution :-
The given cubic polynomial is
x^3 - 4x^2 - 7x + 10
Put the required values of two zeroes that is 1 and -2 in given polynomial
( 1 )^3 + 4 ( -2)^2 - 7x + 10 = 0
1 + 4 * 4 - 7x + 10 = 0
1 + 16 - 7x + 10 = 0
17 - 7x + 10 = 0
27 - 7x = 0
-7x = -27
x = -27/-7
x = 27/7
Lets verify the value of third zero ,
Put the value of all three zeroes in the given polynomial
Therefore,
(1)^3 + 4 * ( - 2)^2 - 7( 27/7) + 10
1 + 4 * 4 - 27 + 10
1 + 16 -27 + 10
17 -27 + 10
-10 + 10 = 0
[ • Cubic polynomials are those polynomials whose highest power of degree is 3 ]
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