Given the polynomial 2x3 + 18x2 − 18x − 162, what is the value of the coefficient 'k' in the factored form? 2x3 + 18x2 − 18x − 162 = 2(x + k)(x − k)(x + 9)k=

Step-by-step explanation:

Let

We factor 2 to obtain;

We factor the polynomial within the parenthesis by grouping.

We apply difference of two squares on the second factor:

We now compare to;

It is now obvious that

you forgot an image

step-by-step explanation:

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it