20. one factor of x^3 + 2x^2 – 23x - 60 is x +4. find
the remaining factors.

x – 5 and x + 3

Step-by-step explanation:

Knowing that x + 4 is a factor, we can use grouping to factor:

x³ + 2x² – 23x – 60

x³ + 2x² – 8x – 15x – 60

x (x² + 2x – 8) – 15 (x + 4)

x (x – 2) (x + 4) – 15 (x + 4)

(x (x – 2) – 15) (x + 4)

(x² – 2x – 15) (x + 4)

(x – 5) (x + 3) (x + 4)

To use long division, see attached image.

step-by-step explanation:

de-gf

hj=3x+20

ji=15x-64

3

step-by-step explanation: