Answer:
The roots are: 1, -7 and -7
Step-by-step explanation:
When we put x = -1 in F(x) it is equal to 0
Thus, (x + 1) is factor of given function.
When we divide F(x) by (x + 1) it gives the value (x² - 6x - 7)
Now, factorizing x² - 6x - 7 by middle term splitting.
x² - 6x - 7 = x² - 7x + x - 7
⇒ x(x - 7) + 1(x - 7)
⇒ (x + 1) (x - 7)
Thus, x³ - 5x² - 13x - 7 = (x + 1)(x + 1)(x - 7)
Thus, Roots of the given polynomial function is x = -1, -1, 7
Hope this answer helps you :)
Have a great day
Mark brainliest
