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What is the remainder when 3x2 - x - 10 is divided by x - 1?
To find the remainder when (3x^2 - x - 10) is divided by (x - 1), we can use the Remainder Theorem. This states that the remainder of a polynomial (f(x)) divided by (x - c) is (f(c)). Here, (c = 1), so we calculate (f(1) = 3(1)^2 - (1) - 10 = 3 - 1 - 10 = -8). Thus, the remainder is (-8).
What is 3x2 - 2 divided by x plus 1?
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.
What is the quotient and remainder if any when the polynomial 2x quadrupled -9x cubed plus 13x squared -15x plus 9 is divided by x -3?
2x4 - 9x3 + 13x2 - 15x + 9 = 2x4 - 6x3 - 3x3 + 9x2 + 4x2 - 12x - 3x + 9 = 2x3(x - 3) - 3x2(x - 3) + 4x(x - 3) - 3(x - 3) = (x - 3)*(2x3 - 3x2 + 4x - 3) So the quotient is (2x3 - 3x2 + 4x - 3) and the remainder is 0.
What is the degree of this polynomial 3x2-4x 9?
It is of the 2nd degree.
Is Polynomial function is a field?
No, it is not. f(x) = 2x + 3 and g(x) = 3x2 are polynomials but f(x)/g(x) is not a polynomial.
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?
Oh, what a happy little question! Let's gently divide 2 into the polynomial -3x^2 + 7x - 9. When we do that, we find that the remainder is -6x - 21. Just remember, there are no mistakes, only happy little accidents in math!
Which polynomial represents the sum below?
Answer this ques Which polynomial represents the sum below?(-x3 + 3x2 + 3) + (3x2 + x + 4)tion…
What is the degree of this polynomial 3x2 - 4x plus 9?
The degree of this polynomial is 2.
What is an example of a polynomial?
3x2 - 2x + 3
What is 3x2 - 2 divided by x plus 1?
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.
What is the quotient and remainder if any when the polynomial 2x quadrupled -9x cubed plus 13x squared -15x plus 9 is divided by x -3?
2x4 - 9x3 + 13x2 - 15x + 9 = 2x4 - 6x3 - 3x3 + 9x2 + 4x2 - 12x - 3x + 9 = 2x3(x - 3) - 3x2(x - 3) + 4x(x - 3) - 3(x - 3) = (x - 3)*(2x3 - 3x2 + 4x - 3) So the quotient is (2x3 - 3x2 + 4x - 3) and the remainder is 0.
What is the degree of this polynomial 3x2-4x 9?
It is of the 2nd degree.
What is the quotient when the polynomial 2x4 minus 9x3 plus 13x2 minus 15x plus 9 is divided by the polynomial x minus 3?
2x^3 - 3x^2 + 4x - 3
Factor the polynomial x3 - 3x2 plus x - 3?
x3 - 3x2 + x - 3 = (x2 +1)( x - 3)
Factor as a polynomial in decreasing order 3x2 - 5x - 2?
3x2 - 5x - 2 can be factored into (3x + 1) (x - 2)
When x3 plus 3x2 2x plus 7 is divided by x plus 1 the remainder is?
That depends on whether or not 2x is a plus or a minus
