a quadratic polynomial one of whose zero is 2+√5 and the sum of whose zerows is 4
Answers
Correct Question:
a quadratic polynomial one of whose zero is 2+√5 and the sum of whose zerows is 4
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Solution :
Sum of the zeros = 4.
Any one of the zero = 2 + √5
another zero 2 - √5 It is because 2 + √5 + +β=4
β=4-2+√5
β=2-√5.
x²-(4)x+(2+√5.2-√5) {(a+b)(a-b)==a²-b²}
x²-4x+(4-5)
x²-4x+(-1)
x²-4x-1.
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☆Extra Information ☆
Quadratic Polynomial - a quadratic, is a polynomial function with one or more variables in which the highest-degree term is of the second degree.
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Answer:
The polynomial is x2 - 4x - 1.
Step-by-step explanation:
Sum of zeroes is 4.
And one zero is 2+root5
So,(2+root5)+other zero = 4
Other zero is 2-root 5
So (x-2-root5) (x-2+root5)
Multiply them and you will get your polynomial.
Ans : x2-4x-1