Answer:
Explanation:
To write the polynomial in standard form, we first need to multiply out the terms using the distributive property. We can start by multiplying the first two factors:
(x - 3)(x - 3) = x(x) - 3(x) - 3(x) + 3(3) = x^2 - 6x + 9
Now we can multiply this result by the third factor:
(x^2 - 6x + 9)(x - 1) = x(x^2) - x(6x) + x(9) - 1(x^2) + 1(6x) - 1(9)
Simplifying this expression by combining like terms, we get:
x^3 - 8x^2 + 21x - 9
So the polynomial in standard form is:
f(x) = x^3 - 8x^2 + 21x - 9