There are three values of k for which P(x) = x^3 − 2x^2 − x + 2 divided by (x − k) gives a remainder of zero. Find the three values of k.

k= –1, 1 & 2

Step-by-step explanation:

use the factor and remainder theorem

rational root theorem

synthetic division

and factorisation method.

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6