If -1 is a zero of the polynomial p(x) = ax³- x²+ x + 4, then find the value of 'a'

The answer to your question is a = 2

Step-by-step explanation:

Data

root = -1

Polynomial     p(x) = ax³ - x² + x + 4

Process            

If -1 is a root of the polynomial, then, we must equal the polynomial to zero and substitute -1 and solve it for a.

1.- Equal to zero

                              ax³ - x² + x + 4 = 0

2.- Evaluate in -1

                              a(-1)³ - (-1)² + (-1) + 4 = 0

3.- Simplification

                                    - a -1 - 1 + 4 = 0

                                   -a + 2 = 0

4.-Solve for a

                                     -a = -2

                                      a = 2

a = 2

Step-by-step explanation:

-1 is a zero of the polynomial p(x)

means

a(-1)³- (-1)²+ (-1) + 4 = 0

means

-a - 1 - 1 + 4 = 0

means

a = 2

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.

square pyramid

step-by-step explanation:

square prism looks like nothing like that

triangular prism has a rectangular base instead of a square base

tetrahedron has a triangular base