Question

Mathieu is finding the x-intercepts of the function f(x) = x2 + 4x + 3. His work is shown below
. Which error did Mathieu make?

Answer 1

Answer:

I can't see Mathieu's work but I will show the right steps and maybe you can find where Mathieu went wrong.

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

f(x)=(x+3)(x+1)       Since 3*1=3 and 3+1=4

The x-intercepts can be found by setting y to 0 and solving for x

(in other words replace that f(x) thing with 0 and solve for x)

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

Now set both factors equal to 0

x+3=0       or      x+1=0

x   =-3                    x=-1

The x-intercepts are at (-3,0) and (-1,0)

Answer 2

A function assigns the value of each element of one set to the other specific element of another set. The correct option is C.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

The x-intercepts of the function f(x) = x² + 4x + 3 can be found as shown below.

f(x) = x² + 4x + 3

0 = x² + 4x + 3

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

x = -3, -1

Now, it can be seen that Mathieu has actually set the factored expressions equal to each other, which was wrong.

Hence, the correct option is C.

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