Deltamath Question

Question

Write the polynomial function as a product of linear factors: p(x)=x⁵−5x³−45x

(I know how to do the question below, but I can't do this one)

Example:

Write the polynomial function as a product of linear factors: p(x)=x⁵-7x³+12x

Answer: p(x)=x(x+2)(x−2)(x+√3)(x−√3)

Answer 1

x^5 -5x^3 -45

factor out the x to get

x(x^4-5x^2-45) At this point, best guess is there's a typo in the problem and it was supposed to be -4x^3 not -5x^3. the 4 and 5 are close together on every keyboard

IF so,

x(x^4-4x^2-45) = x(x^2-9)(x^2+5) = x(x-3)(x+3)(x-isqr5)(x+isqr5)