The expression which satisfies all three points will be x³–x²–17x –15.
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
The given points are p(-3) = 0, p(-1) = 0, and p(5) = 0,
So checking the points in the function:-
P(x) = x³–x²–17x –15.
p(-3) = (-3)³–(3)²–(17x-3) –15 = -27 - 9 + 51 -1 5 = 0
p(-1) = (-1)³– (-1)²–( 17x -1) –15 = -1 -1 + 17 - 15 = 0
p(-5) = (5)³–(5)²–(17x5) –15. = 125 - 25 -85 - 15 = 0
Therefore the expression which satisfies all three points will be x³–x²–17x –15.
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