find a quadratic polynomial whose zeroes are reciprocals of the zeroes of the polynomial x²-x-6
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Answer:
Given below is the answer
Step-by-step explanation:
x² - x - 6 = 0
x² - 3x + 2x - 6 = 0
x(x - 3) + 2 (x - 3) = 0
(x+2) (x-3) = 0
x+2 = 0 or x - 3 = 0
x = -2 or x = 3
A polynomial whose highest degree monomial is of the second degree is said to be quadratic. A second-order polynomial is another name for a quadratic polynomial. Accordingly, at least one of the variables must be raised to the power of 2, and the powers of the remaining variables must be more than or equal to two but less than -1.
Multivariable quadratic polynomials are possible. The most frequently employed polynomial, however, is a univariate quadratic polynomial with a single variable. A univariate quadratic polynomial has a parabola as its graph.A second-order polynomial is another name for a quadratic polynomial. Accordingly, at least one of the variables must be raised to the power of 2, and the powers of the remaining variables must be more than or equal to two but less than -1.
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