The remainder of the function f(x) = [tex]x^{5}[/tex] -3[tex]x^{2}[/tex] -4 is -6
What is a remainder?
The remainder is the portion of the dividend that cannot be fairly divided by the divisor. After dividing whole numbers to find the quotient, the number that is not exactly divided by the divisor is called the remainder.
If x - 1 divides the function f(x) = [tex]x^{5}[/tex] -3[tex]x^{2}[/tex] -4 the to find the remainder, he substitute x = 1 into the function
so that we have, [tex](1)^{5}[/tex] -3([tex](1)^{2}[/tex] - 4 = 1 -3 -4,
= -6
In conclusion, the remainder when x - 1 divides [tex]x^{5}[/tex] -3[tex]x^{2}[/tex] -4 is -6
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