Question

question 9 · 1 point
find the x - intercepts and y - intercept of the following function.
f(x)=(x - 5)(x + 1)(3x + 6)
enter the intercepts as a list of ordered pairs (x,y) separated by commas.
provide your answer below:
x - intercepts:
y - intercept:

Explanation:

Step1: Find x - intercepts

Set $f(x)=0$, so $(x - 5)(x + 1)(3x+6)=0$. Then $x - 5=0$ gives $x = 5$; $x + 1=0$ gives $x=-1$; $3x + 6=0$ gives $x=-2$. The x - intercepts as ordered pairs are $(5,0),(-1,0),(-2,0)$.

Step2: Find y - intercept

Set $x = 0$. Then $f(0)=(0 - 5)(0 + 1)(3\times0+6)=(-5)\times1\times6=-30$. The y - intercept as an ordered pair is $(0,-30)$.

Answer:

x - intercepts: $(5,0),(-1,0),(-2,0)$
y - intercept: $(0,-30)$