Question

What polynomial has roots of –4, –1, and 6 ?

Answer 1

(x+4)(x+1)(x-6)

Answer 2

x = -4,
x = -1
x = 6

(x + 4) = 0
(x + 1) = 0
(x - 6) = 0

(x+4)(x+1)(x-6) = 0

Now multiply the terms! :D

Answer 3

x3 – x2 – 26x – 24
x3 – 9x2 – 22x + 24
x3 + x2 – 26x + 24
x3 + 9x2 + 14x – 24

Answer 4

lamoo sorry you need these

Answer 5

If a polynomial P(x) has r as a root, then we can write
\[ P(x) = (x-r)Q(x) \]
For some other polynomial Q(x).

Hence generalizing, if \( r_1, r_2 \) and \( r_3 \) are roots, then
\[ P(x) = (x-r_1)(x-r_2)(x-r_3)Q(x) \]

In the solution just given to you, Q(x) = 1.

Answer 6

multiply the solution out.