Correct answers only ! which statements are true about the polynomial function? select each correct answer.

A and D

Step-by-step explanation:

f(x) = x⁴ + 5x³ - x² - 5x

     = x(x³ + 5x² - x - 5)

     = ↓ x²(x + 5) -1(x + 5)

     = ↓ (x + 5)(x² - 1)

     = ↓      ↓   (x + 1) (x - 1)

So, the factors are: x, x + 5, x + 1, and x - 1

Thus, the solutions are: x = 0, x = -5, x = -1, and x = 1

Any of those factors or solutions will result in a remainder of 0.

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!