Factor completely. if a polynomial is prime, state this. 2t^2-19-6t

ANSWER

Prime

EXPLANATION

The given quadratic expression is

We rewrite in standard form to obtain

Comparing to the standard quadratic function in t,

We have

We find that the product

There are no two factors of -38 that sums up to -6.

This means that, the given polynomial does not have rational factors.

Therefore the polynomial is prime.

26

step-by-step explanation:

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: