Question

Pls answer this for me, this is the remainder theorem for grade 9 so help me.

Answer 1

Answer:

Step-by-step explanation:

1) x + 1 = 0

x = -1

P(x) = x³ + 5x² + 2x + 1

P(-1) = (-1)³ + 5(-1)² + 2*(-1) + 1

       = -1 + 5*1  -2 +1

       = - 1 +5 - 2 +1

P(-1) = 3

2)x -5 =0

x = 5

P(x) = x³ - 6x² + 5x + 2

P(5) =5³ -6*(5)²  + 5*5 + 2

    = 125 - 6*25 + 25 + 2

   = 125 - 150 + 25 +2

  P(5) = 2

Answer 2

Answer:

1.  3

2. 2

Step-by-step explanation:

| |  

x | + | 1 | | x^2 | + | 4 x | - | 2

x^3 | + | 5 x^2 | + | 2 x | + | 1

x^3 | + | x^2 | | | |  

| | 4 x^2 | + | 2 x | |  

| | 4 x^2 | + | 4 x | |  

| | | | -2 x | + | 1

| | | | -2 x | - | 2

| | | | | | 3

__________________________________________

| |  

x | - | 5 | | x^2 | - | x | + | 0

x^3 | - | 6 x^2 | + | 5 x | + | 2

x^3 | - | 5 x^2 | | | |  

| | -x^2 | + | 5 x | |  

| | -x^2 | + | 5 x | |  

| | | | | | 2

| | | | | | 0

| | | | | | 2