Question

factorize x^3-10x+24​

Answer 1

The answer is
x
3
+
10
x
2
+
24
x
=
x
(
x
+
4
)
(
x
+
6
)
.
Problem: Factor
x
3
+
10
x
2
+
24
x
.
Factor out
x
.
x
(
x
2
+
10
x
+
24
)
Factor
x
2
+
10
x
+
24
.
Find two numbers that when added equal 10, and when multiplied equal 24. Numbers
4
and
6
satisfy this requirement.
x
2
+
10
x
+
24
=
(
x
+
4
)
(
x
+
6
)
x
3
+
10
x
2
+
24
=
x
(
x
+
4
)
(
x
+
6
)