factorise 3 x2 + 48 x +117 plse answer
Answers
Answered by
0
Answer:
How to solve your problem
3
2
+
4
8
+
1
1
7
3x^{2}+48x+117
3x2+48x+117
Grouping
1
Common factor
3
2
+
4
8
+
1
1
7
3x^{2}+48x+117
3x2+48x+117
3
(
2
+
1
6
+
3
9
)
3(x^{2}+16x+39)
3(x2+16x+39)
2
Use the sum-product pattern
3
(
2
+
1
6
+
3
9
)
3(x^{2}+{\color{#c92786}{16x}}+39)
3(x2+16x+39)
3
(
2
+
1
3
+
3
+
3
9
)
3(x^{2}+{\color{#c92786}{13x}}+{\color{#c92786}{3x}}+39)
3(x2+13x+3x+39)
3
Common factor from the two pairs
3
(
2
+
1
3
+
3
+
3
9
)
3(x^{2}+13x+3x+39)
3(x2+13x+3x+39)
3
(
(
+
1
3
)
+
3
(
+
1
3
)
)
3(x(x+13)+3(x+13))
3(x(x+13)+3(x+13))
4
Rewrite in factored form
3
(
(
+
1
3
)
+
3
(
+
1
3
)
)
3(x(x+13)+3(x+13))
3(x(x+13)+3(x+13))
3
(
+
3
)
(
+
1
3
)
3(x+3)(x+13)
3(x+3)(x+13)
Solution
3
(
+
3
)
(
+
1
3
)
Answered by
1
Answer:
answer = 5622
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