By transforming the second order polynomial 5 · x² - 30 · x = 5 into its standard form, the polynomial is equivalent to (x - 3)² = 9.833. (Correct choice: A) #SPJ5
The standard form of a parabola is a synthetic form that brings useful information of the geometric locus. This form is derived by applying the method of completing a square, which is based on algebra properties to transform and reduce a part of a second order polynomial into a perfect square trinomial.
Now we proceed to show the procedure to obtain the expression equivalent to the polynomial described in the statement:
5 · x² - 30 · x = 5
x² - 6 · x = 5/6
x² - 6 · x + 9 = 59/6
(x - 3)² = 59/6
(x - 3)² = 9.833
By transforming the second order polynomial 5 · x² - 30 · x = 5 into its standard form, the polynomial is equivalent to (x - 3)² = 9.833. (Correct choice: A) #SPJ5
To learn more on completing the square, we kindly invite to check this verified question: https://brainly.com/question/4822356 #SPJ5
