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What is the remainder when 2 is syntheticly divided into the polynomial -3x2 7x-9?
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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 are the solutions of the equation x3 plus 3x2-x-3 equals 0?
the solutions to this equation are -1,+1 and -3. you can solve this equation by using the polynomial long division method. we basically want to factorize this and polynomial and equate its factors to zero and obtain the roots of the equation. By hit and trial , it clear that x=1 i.e is a root of this equation. So (x-1) should be a factor of the given polynomial (LHS). Divide the polynomial by x-1 using long division method and you will get the quotient as x2+4x+3 and remainder would be 0 ( it should be 0 as we are dividing the polynomial with its factor. Eg when 8 is divided by any of its factor like 4,2 .. remainder is always zero ) Now, we can write the given polynomial as product of its factors as x3+3x2-x-3 = (x-1)(x2+4x+3) =(x-1)(x+1)(x+3) [by splitting middle term method] so the solutions for the given polynomial are obtained when RHS = 0, Hence x=-1 , X = +1, x=-3 are the solutions for this equation.
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
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 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 an example of a polynomial?
3x2 - 2x + 3
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
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
Factor as a polynomial in decreasing order 3x2 - 5x - 2?
3x2 - 5x - 2 can be factored into (3x + 1) (x - 2)
Factor the polynomial x3 - 3x2 plus x - 3?
x3 - 3x2 + x - 3 = (x2 +1)( x - 3)
