PLZ help! Suppose that $f$ is a polynomial such that (x^2-1)(f(x))=5x^6-x^5+3x^4+x^3 - 25x^2 +38x -17. What is the degree of $f$?

Solve for x:

x^3 - 3 x^2 + 25 x - 75 = 0

The left hand side factors into a product with two terms:

(x - 3) (x^2 + 25) = 0

Split into two equations:

x - 3 = 0 or x^2 + 25 = 0

Add 3 to both sides:

x = 3 or x^2 + 25 = 0

Subtract 25 from both sides:

x = 3 or x^2 = -25

Take the square root of both sides:

 x = 3 or x = 5 i or x = -5 i

Step-by-step explanation:

(-1,-0.5)

step-by-step explanation:

r(0,90)(x,y) . t(-5,0)

last option

step-by-step explanation:

∆def to ∆d"e"f"

- rotate 90 counterclockwise degrees

- then translated 5 to the left (x --> x - 5)

answer is the last option