answersLogoWhite

0


Best Answer

3x2 - 2 is a polynomial of order 2.

Therefore, dividing it by (x + 1) will result in a polynomial of order 1. Suppose the quotient is ax + b (where a is non-zero), and with the remainder c.

Thus 3x2 - 2 = (x + 1)*(ax + b) + c

= ax2 + ax + bx + b + c

= ax2 + (a + b)x + (b + c)

Comparing coefficients:

3 = a

0 = a + b => 0 = 3 + b => b = -3

-2 = b + c => -2 = -3 + c => c = 1

Therefore, (3x2 - 2)/(x + 1) = 3x - 3 = 3*(x - 1) and a remainder of 1.

User Avatar

Wiki User

10y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: What is 3x2 - 2 divided by x plus 1?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

What is the answer to x cubed plus 3x squared plus 3x plus 2 divided by x plus 2?

x3+3x2+3x+2 divided by x+2 equals x2+x+1


What is the answer when 12x3-14x2-14x-2 is divided by 4x plus 2.....help please you keep getting a decimal answer?

(3x2 - 5x - 1)


Quotient and remainder of 3X4 plus 2X3 minus X2 minus x minus 6 divided by X2 plus 1?

(3x4 + 2x3 - x2 - x - 6)/(x2 + 1)= 3x2 + 2x - 4 + (-3x - 2)/(x2 + 1)= 3x2 + 2x - 4 - (3x + 2)/(x2 + 1)where the quotient is 3x2 + 2x - 4 and the remainder is -(3x + 2).


What is 3x squared plus 5x plus 2?

3x2 + 5x + 2 is a quadratic expression that can be factored as follows: 3x2 + 5x + 2 = 3x2 + 3x + 2x + 2 = 3x(x + 1) + 2(x + 1) = (3x + 2)(x + 1)


What is the remainder when 2 is synthetically divided into the polynomial -3x2 plus 7x-9?

-7


What is the remainder when 2 is synthetically divided into the polynomial -3x2 plus 7x minus 9?

bghgbh


Find the sum 3x2 plus 2x plus 3 plus x2 plus x plus 1?

3x2 + 2x + 3 + x2 + x + 1 = 4x 2+ 3x + 4


Factor Trinomial 3x2 plus 7x plus 2?

(3x+1)(x+2)


Factorize completely 3x2-5x plus 2?

If you meant 3x2 - 5x + 2, here is your answer 3x2 - 5x +2 = 0 => 3x2 - 3x - 2x + 2 = 0 => 3x(x-1) - 2(x-1) = 0 => (3x - 2) (x-1) = 0 => x = 2/3 or, x = 1


Factor 3x to the third power minus 3x to the second power plus 2x minus 2?

3x3 - 3x2 + 2x - 2 = 3x2(x - 1) + 2(x - 1) = (3x2 + 2)(x - 1)


What is (6(3x2) plus 8x-3) plus (3(3x2)-7x plus 2) simplified?

The sum 6 (3x^2) + 8x -3 plus 3 (3x^2) - 7x + 2 = 27 x^2 + x -1


How do you get 2 plus 2 equals 6?

2+2=4-1=3x2=6