what must be added to 3x-7 to make x^2+4x-1
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Let the unknown part be represented by
A
Then we have:
3
x
−
7
+
A
=
x
2
+
4
x
−
1
Subtract
3
x
from both sides
−
7
+
A
=
x
2
+
4
x
−
3
x
−
1
but
4
x
−
3
x
is
x
giving:
−
7
+
A
=
x
2
+
x
−
1
Add 7 to both sides
A
=
x
2
+
x
+
6
So you need to add:
x
2
+
x
+
6
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