Find the zeros of each function y x 1x 1x 3 y x 2 x 3

Find the zeros of each function. y = (x + 1)(x - 1)(x - 3) y = (x + 2) (x - 3) y = x(x - 2) (x + 5) Find the real or imaginary solutions of each equation by factoring. x^4 - 5x^2 + 4 = 0 26. x^4 - 12x^2 + 11 = 0 27. x^4 - 10x^2 + 16 Divide using synthetic division. (x^3 - 8x^2 + 17x - 10) + (x - 5) (x^3 + 5x^2 - x - 9) + (x + 2) 30. (- 2x^3 + 15x^2 - 22x - 15) + (x - 3) Divide using long division. (x^2 - 13x - 48) (x + 3) 32. (2x^2 + x - 7) + (x - 5) The volume in cubic inches of a box can be expressed as the product of its three dimensions: V (x) = x^3 - 16x^2 + 79x - 120. The length is x - 8. Find linear expressions with integer coefficients for the other dimensions. Assume that the width is greater than the height. Determine the cubic function that is obtained from the parent function y = x^3 after each sequence of transformations. a reflection in the x-axis; a vertical translation 3 units down; and a horizontal translation 2 units right. a vertical stretc

Solution

22) Given y = (x+1)(x-1)(x-3)

Need to find the zeros.

To find zeros, make y=0

y = (x+1)(x-1)(x-3)

0 =  (x+1)(x-1)(x-3)

(x+1)(x-1)(x-3) = 0

(x+1) = 0 ; (x-1) = 0 ; (x-3) = 0

x+1 = 0 x-1 = 0 x-3 = 0

x = -1 x = 1 x = 3

Therefore, zeros of given function are {-1, 1, 3}