Write the expression x³+3x²+x-5 in terms of linear factors.

i  (x - 1)  (x^2 + 4 x + 5)

ii (x-1)(x + (2 - i)) (x + (2 + i))

Step-by-step explanation:

To find the linear terms you have to factorize the polynomial.

Applying the difference of cubes, you find the first linear term. Using the quadratic formula you find the other linear terms.

As you may see the last terms are complex because the  result of the square root is negative.

(x + (2 - i)) (x + (2 + i))

is means division by fractions

step-by-step explanation:

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi