Solve Quadratics by factoring

Solve Quadratics by factoring

Find the zeros, roots, solutions

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Solve the quadratic function by factoring.

y = x² - 9x + 20

make y = 0 and factor x² - 9x + 20

When you factor x² - 9x + 20 you get

(x - 4)(x - 5)

Now set both sets of parenthesis = to 0 and solve for the variable.

x - 4 = 0 and x - 5 = 0

Solve a quadratic by factoring

x - 4 = 0 x - 5 = 0

x = 4 or x = 5

These answers are the solutions, roots or zeros of the quadratic. That means that this is where the graph crosses the x-axis.

The points will be (4,0) and (5, 0)