X²-5x-84 polynomial factorization
please explain the results
Answers
Answered by
5
Answer:
The solutions for the expression are:
x
=
7
,
x
=
−
12
Explanation:
x
2
+
5
x
–
84
We can first factorise the above expression and then proceed towards finding the solution.
Factorising by splitting the middle term
x
2
+
5
x
–
84
=
x
2
+
12
x
−
7
x
–
84
=
x
(
x
+
12
)
−
7
(
x
+
12
)
(
x
−
7
)
(
x
+
12
)
is the factorised form for the expression.
Now we can equate each factor with zero and obtain the solutions.
x
−
7
=
0
,
x
=
7
x
+
12
=
0
,
x
=
−
12
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