SOLUTION: Factor and solve this polynomial function: g(x)= x(squared) + 10x - 39

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Factor and solve this polynomial function: g(x)= x(squared) + 10x - 39      Log On


   

Question 1007391: Factor and solve this polynomial function:
g(x)= x(squared) + 10x - 39
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+g%28x%29+=+x%5E2+%2B+10x+-+39+
You can set +g%28x%29+=+0+ and
complete the square
+x%5E2+%2B+10x+-+39+=+0+
+x%5E2+%2B+10x+=+39++
+x%5E2+%2B+10x+%2B+%28+10%2F2+%29%5E2+=+39+%2B+%28+10%2F2+%29%5E2+
+x%5E2+%2B+10x+%2B+25+=+39+%2B+25+
+x%5E2+%2B+10x+%2B+25+=+64+
+%28+x+%2B+5+%29%5E2+=+8%5E2+
+x+%2B+5+=+8+
+x+=+3+
and also:
+x+%2B+5+=+-8+
+x+=+-13+
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So, the factors are:
+g%28x%29+=+%28+x+-+3+%29%2A%28+x+%2B+13+%29+