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Pls answer this for me, this is the remainder theorem for grade 9 so help me. 1) x^3 +5x^2+ 2x +1 divided by x+1 2) x^3 – 6x^2 +

Home/Math/Pls answer this for me, this is the remainder theorem for grade 9 so help me. 1) x^3 +5x^2+ 2x +1 divided by x+1 2) x^3 – 6x^2 +

Pls answer this for me, this is the remainder theorem for grade 9 so help me. 1) x^3 +5x^2+ 2x +1 divided by x+1 2) x^3 – 6x^2 +

Question

Pls answer this for me, this is the remainder theorem for grade 9 so help me.
1) x^3 +5x^2+ 2x +1 divided by x+1
2) x^3 – 6x^2 + 5x + 2 divided by x – 5

## Answers ( )

1) Let f(x) be x^3+5x^2+2x+1

Since f(x) is divided by x+1,

R= f(-1) = (-1)^3 + 5(-1)^2+2(-1) + 1

= -1+5-2+1

= 3

2) Let f(x) be x^3 – 6x + 5x +2

Since f(x) is divided by x-5,

R= f(5) = x^3 – 6x^2 + 5x +2

= 5^3 – 6(5)^2 + 5(5) +2

= 125 – 150 + 25 + 2

= 2