Answer:

Step-by-step explanation:
we have the expression:

To factor this expression we need to indentify the components that are common in both terms.
At first glance there is nothing in common, but we can notice that 30 and 70 are multiples of 10, that is:

so we can substitute this into the expression:

and now that we have the common term (the number 10) we can factorize it, that is, take out the common term and include a parentheses:

One function you would be trying to minimize is
<span>f(x, y, z) = d² = (x - 4)² + y² + (z + 5)² </span>
<span>Your values for x, y, z, and λ would be correct, but </span>
<span>d² = (20/3 - 4)² + (8/3)² + (-7/3 + 5)² </span>
<span>d² = (8/3)² + (8/3)² + (8/3)² </span>
<span>d² = 64/3 </span>
<span>d = 8/sqrt(3) = 8sqrt(3)/3</span>
Actually,
I think the question should be, "In what range(s) of x-values must
there be a root of the POLYNOMIAL?"
Unless you are working with some real strange maths, polynomials are
smooth and continuous. If you drew a smooth and continuous line through
the points in the graph, where would the line have to cross the x-axis?
3 x 8 = 24
3 x -2 = -6
reply if you this was wrong or you needed a different answer pls >:(