For which of the following equations is α + β = 11 and αβ = 33? *
Answers
Answer:
The equation is x²-11x+33 = 0
Explanation:
From the question, we have
Sum of zeroes = α + β = 11
Product of zeroes = αβ = 33
Equation of quadratic polynomial is,
x²− (sum of zeroes)x+ product of zeroes =0
x²-11x+33 = 0
The equation is x²-11x+33 = 0
Quadratic Polynomial :
When the highest power of a variable term in the polynomial equation equals 2, the polynomial is said to be quadratic. A polynomial's exponent is the primary factor to be considered while determining its degree. The coefficient of a constant term's power is not taken into consideration. The quadratic equation or quadratic function comes from equating a quadratic polynomial to zero. These equations' solutions are known as the quadratic equation's roots or zeros.
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