What is the least possible degree of a polynomial that has the root -3 + 2i, and a repeated root -2 that occurs twice? 2 3 4 5

complex roots, never come all by their lonesome, their sister always comes along, so if there's a root of -3 + 2i, her sister the conjugate is also a root of such polynomial, namely -3 - 2i.

Now, if the -2 root has a multiplicity of 2, that is, is repeated twice, then, you're looking at the two complex roots and the two from the -2 root.  So the polynomial will have at least 4 roots, two complex ones and two negative real ones.

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: