The correct options are (b) f(x)=-3x⁵+5x-2
(d) f(x)=x³-8x²
How the polynomial functions are written in standard form?
The function are written in standard form by writing the highest degree term at first and then writting other term according to decreasing order of degree of the variable.
for example f(x)=x⁴+x³+x²+x+1
So according to the question
the function should be written in standard form
so by checking every option,
(a) f(x)=8-x⁵ here highest power is 5 but that term is present at second term. so option A is incorrect.
(b) f(x)=-3x⁵+5x-2 here highest power is 5 and that term is present at first term. then all the terms are arranged in decrreasing order of power.
(c) f(x)=2x⁵+2x+x³ here highest power is 5 and that term is present at first term. then the second highest powered term is 3 and that term is present at third position which should be present at second position.
(d) f(x)=x³-8x² here here highest power is 3 and that term is present at first term. then all the terms are arranged in decrreasing order of power.
Therefore, The correct options are
(b) f(x)=-3x⁵+5x-2
(d) f(x)=x³-8x²
Learn more about the polynomial in standard form
here: https://brainly.com/question/194303
#SPJ2
