The sum and the product of a quadratic polynomial are -5 and-4 respectively, then the polynomial is:
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Answer:
The required equation is given by :
x² - ( Sum of the zeroes) x + ( Product of the Zeros) =0
⟹ x² + 5x - 4 = 0
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The answer is x² + 5x - 4 = 0
Explanation:
- The polynomial equations of degree two in one variable of type f(x) = ax2 + bx + c = 0 and with a, b, c, and R R and a 0 are known as quadratic equations.
- It is a quadratic equation in its general form, where "a" stands for the leading coefficient and "c" for the absolute term of f. (x).
- The roots of the quadratic equation are the values of x that fulfill the equation.
- When a quadratic polynomial is equal to zero, a quadratic equation results.
- The roots of the quadratic equation are the values of x that satisfy the equation.
Form general: ax2 + bx + c = 0.
The equation is x² - ( Sum of the zeroes) x + ( Product of the Zeros) =0
x² + 5x - 4 = 0
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