Question

Sea el polinomio P(x)= 2x³ -4x² + 2x -5,por definición,calcula los siguientes valores:

P (1)
P(-1)
P(2)​

Answer 1

To find the values of the polynomial P(x) for x=1, x=-1, and x=2, we substitute these values into the polynomial expression and simplify to get P(1)=-5, P(-1)=-13, and P(2)=-1.

The student has asked to calculate the values of the polynomial P(x) = 2x³ - 4x² + 2x - 5 for x equal to 1, -1, and 2. To do this, we substitute the given values of x into the polynomial:

For P(1): Substitute x = 1 into the polynomial.

For P(-1): Substitute x = -1 into the polynomial.

For P(2): Substitute x = 2 into the polynomial.

Calculating P(1):

P(1) = 2(1)³ - 4(1)² + 2(1) - 5

P(1) = 2 - 4 + 2 - 5

P(1) = -5

Calculating P(-1):

P(-1) = 2(-1)³ - 4(-1)² + 2(-1) - 5

P(-1) = -2 - 4 - 2 - 5

P(-1) = -13

Calculating P(2):

P(2) = 2(2)³ - 4(2)² + 2(2) - 5

P(2) = 16 - 16 + 4 - 5

P(2) = -1