What is the equation of the line that is perpendicular to the given line and passes through the point (3,0)?

Using this slope and the given point, we can find the equation for the line. The line perpendicular to f(x) that passes through (3, 0) is g ( x ) = − 1 3 x + 1 \displaystyle g\left(x\right)=-\frac{1}{3}x+1 g(x)=−31​x+1.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.