The cubic equation will be x³ - 3x² -13x +15.
What is a cubic equation?
The equation has a degree of three that is the maximum power of the variable equal to three is called a cubic equation or a cubic polynomial. The cubic polynomials have three roots.
Given that:-
- given roots are 1,-3, and 5
The equation will be formed as:-
= ( x - 1 ) ( x + 3 ) ( x - 5 )
= ( x² + 2x -3 ) ( x - 5 )
= ( x³ + 2x² - 13x - 5x² - 10x + 15 )
= ( x³ - 3x² - 13x + 15 )
Therefore the cubic equation will be x³ - 3x² -13x +15.
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