Question

What is the quotient: (-3x3 + 16x2 + 13x - 6) ÷ (3x - 1) ?

Answer 1

-x^2 + 5x + 6

Answer 2

Here-


you want to look at it as if it's just any other long division problem.

(3x - 1) * (-x^2) => (-3x^3 + x^2)

(–3x3 + 16x2 + 13x – 6) - (-3x^3 + x^2) = (15x^2 + 13x - 6)

(3x - 1) * (5x) => (15x^2 - 5x)

(15x^2 + 13x - 6) - (15x^2 - 5x) = (18x - 6)

(3x - 1) * 6 = 18x - 6

(18x - 6) - (18x - 6) = 0

So, the final result will be => -x^2 + 5x + 6

Answer 3

Here-


you want to look at it as if it's just any other long division problem.

(3x - 1) * (-x^2) => (-3x^3 + x^2)

(–3x3 + 16x2 + 13x – 6) - (-3x^3 + x^2) = (15x^2 + 13x - 6)

(3x - 1) * (5x) => (15x^2 - 5x)

(15x^2 + 13x - 6) - (15x^2 - 5x) = (18x - 6)

(3x - 1) * 6 = 18x - 6

(18x - 6) - (18x - 6) = 0

So, the final result will be => -x^2 + 5x + 6

Answer 4

Here-


you want to look at it as if it's just any other long division problem.

(3x - 1) * (-x^2) => (-3x^3 + x^2)

(–3x3 + 16x2 + 13x – 6) - (-3x^3 + x^2) = (15x^2 + 13x - 6)

(3x - 1) * (5x) => (15x^2 - 5x)

(15x^2 + 13x - 6) - (15x^2 - 5x) = (18x - 6)

(3x - 1) * 6 = 18x - 6

(18x - 6) - (18x - 6) = 0

So, the final result will be => -x^2 + 5x + 6

Answer 5

Here-


you want to look at it as if it's just any other long division problem.

(3x - 1) * (-x^2) => (-3x^3 + x^2)

(–3x3 + 16x2 + 13x – 6) - (-3x^3 + x^2) = (15x^2 + 13x - 6)

(3x - 1) * (5x) => (15x^2 - 5x)

(15x^2 + 13x - 6) - (15x^2 - 5x) = (18x - 6)

(3x - 1) * 6 = 18x - 6

(18x - 6) - (18x - 6) = 0

So, the final result will be => -x^2 + 5x + 6

Answer 6

Here-


you want to look at it as if it's just any other long division problem.

(3x - 1) * (-x^2) => (-3x^3 + x^2)

(–3x3 + 16x2 + 13x – 6) - (-3x^3 + x^2) = (15x^2 + 13x - 6)

(3x - 1) * (5x) => (15x^2 - 5x)

(15x^2 + 13x - 6) - (15x^2 - 5x) = (18x - 6)

(3x - 1) * 6 = 18x - 6

(18x - 6) - (18x - 6) = 0

So, the final result will be => -x^2 + 5x + 6

Answer 7

Here-


you want to look at it as if it's just any other long division problem.

(3x - 1) * (-x^2) => (-3x^3 + x^2)

(–3x3 + 16x2 + 13x – 6) - (-3x^3 + x^2) = (15x^2 + 13x - 6)

(3x - 1) * (5x) => (15x^2 - 5x)

(15x^2 + 13x - 6) - (15x^2 - 5x) = (18x - 6)

(3x - 1) * 6 = 18x - 6

(18x - 6) - (18x - 6) = 0

So, the final result will be => -x^2 + 5x + 6