Question

Mathieu is finding the x-intercepts of the function f(x) = x2 4x 3. his work is shown below. 0 = x2 4x 3 0 = (x 3)(x 1) x 3 = x 1 x = x – 2 0 = –2 there are no x-intercepts. which error did mathieu make? he factored incorrectly. he did not use the constant as the x-intercept. he set the factored expressions equal to each other. he incorrectly solved the equation x 3 = x 1.

Answer 1

He set the factored expressions equal to each other.  instead of setting them equal to zero

What are quadratic equations?

The name Quadratic comes from "quad" meaning square because the variable gets squared (like x2). It is also called an "Equation of Degree 2

The given solution of the quadratic equation in the question is

$f(x) = x^2 + 4x + 3.$

His work is shown below.

$0 = x^2 + 4x + 3$

$0 = (x + 3)(x + 1)$

Here is where we use the zero product property

x+3 = 0   x+1 =0  We do not set them equal to each other

Hence He set the factored expressions equal to each other.  instead of setting them equal to zero

To know more about quadratic equations follow

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