19. Factorise x^3 - 13x^2 + 30x
Answers
Answer:
Explanation:
Factor:
x
3
−
13
x
2
−
30
x
Factor out the GCF
x
.
x
(
x
2
−
13
x
−
30
)
Factor
x
2
−
13
x
−
30
Find two numbers that when added equal
−
13
and when multiplied equal
−
30
. The numbers
2
and
−
15
meet the requirements.
Rewrite the expression.
x
(
x
+
2
)
(
x
−
15
)
Answer link
Jacobi J.
May 28, 2018
x
(
x
−
15
)
(
x
+
2
)
Explanation:
All terms have an
x
in common, so we can factor that out first. We get
x
(
x
2
−
13
x
−
30
)
What I have in blue, I can factor by grouping. Here, I will rewrite the
b
term as the sum of two terms, so we can factor easily.
Our polynomial can be alternatively written as
x
(
x
2
+
2
x
−
15
x
−
30
)
Notice, the red terms are the same as
−
13
x
, so I didn't change the value of this expression.
x
(
x
2
+
2
x
−
15
x
−
30
)
I can factor an
x
out of the purple term, and a
−
15
out of the green term. Doing this, we get
x
(
x
(
x
+
2
)
−
15
(
x
+
2
)
)
Both the green and purple terms have an
x
+
2
in common, so I can factor that out. We get
x
(
x
−
15
)
(
x
+
2
)
as our final answer.
Step-by-step explanation:
i hope answer is helpful to you
Answer:
Evaluate the exponent:
x³-1*13²+30x
= x³-1*169+30x
Multiply the number:
x³-1*169+30x
= x³-169+30x
Rearrange the numbers:
x³-169+30x
= x³+30x-169
Solution
x³+30x-169