Student Activity: Factoring Quadratics By Graphing Page 3
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43. Using the graphing calculator, find the real roots for each of the given equations.
Quadratic
Real Roots
Factors
2
y = 2x
+ 9x - 5
2
y = 12 - 23x + 5x
2
y = 15 + 26x + 8x
Describe the points where the graph intersects the x-axis. _________________________
_______________________________________________________________________
Would it be easier to find the factors using the graph or by hand? ___________________
Why? __________________________________________________________________
What other function could be used to find the factors other that G-Solve? _____________
4. Using the graphing calculator, find the real roots for each of the given equations.
Quadratic
Real Roots
Factors
2
3
1
y = x
-
/
x -
/
10
10
2
1
y = x
-
/
25
2
14
3
y = x
+
/
x +
/
15
15
2
9
y = x
-
/
16
Describe the points where the graph intersects the x-axis. _________________________
_______________________________________________________________________
Would it be easier to find the factors using the graph or by hand? ___________________
Why? __________________________________________________________________
What other function could be used to find the factors other that G-Solve? _____________
5. Using the graphing calculator, find the real roots for each of the given equations.
Quadratic
Real Roots
Factors
2
14
3
y = x
+
/
x +
/
15
15
2
4
4
y = x
+
/
x +
/
3
9
9
3
2
y =
/
-
/
x + x
16
2
9
3
2
y = -
/
-
/
x + x
64
4
When using the graphing calculator, what function would you need to use in order to find
the factors for these quadratics? _____________________________________________
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