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What is the remainder R when the polynomial p(x) is divided by (x - 2)?
The remainder ( R ) when a polynomial ( p(x) ) is divided by ( (x - 2) ) can be found using the Remainder Theorem. According to this theorem, the remainder is equal to ( p(2) ). Thus, to find ( R ), simply evaluate the polynomial at ( x = 2 ): ( R = p(2) ).
What is the remainder when (x3 1) is divided by (x2 x 1)?
To find the remainder when ( x^3 + 1 ) is divided by ( x^2 + x + 1 ), we can use polynomial long division. Upon performing the division, we find that the remainder is a polynomial of degree less than the divisor, which is ( x^2 + x + 1 ). The result shows that the remainder is ( -x + 1 ). Thus, the remainder when ( x^3 + 1 ) is divided by ( x^2 + x + 1 ) is ( -x + 1 ).
What is the remainder when the polynomial x4 5x2 10x 12 is divided by x plus 2?
I assume you meant x^4 + 5x^2 +10x + 12. The remainder is 28
What number as a remainder of 1 when divided by 2 as a remainder of 2 when divided by 3 as a remainder of 3 when divided by 4 and a remainder of 4 when divided by 5?
59
What number divided by 2 has a remainder 1 divided by 3 has a remainder 2 divided by four has a remainder 3 divided by 5 has a remainder 4?
29
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!
What is the remainder R when the polynomial p(x) is divided by (x - 2)?
The remainder ( R ) when a polynomial ( p(x) ) is divided by ( (x - 2) ) can be found using the Remainder Theorem. According to this theorem, the remainder is equal to ( p(2) ). Thus, to find ( R ), simply evaluate the polynomial at ( x = 2 ): ( R = p(2) ).
Is it false if a polynomial is divided by (x-a) and the remainder equals zero then (x-a) is a factor of the polynomial?
No, it’s true. It’s the same as saying if 60 is divided by 2 and the remainder equals zero (no remainder, so it divides perfectly), 2 is a factor of 60.
What do we use the polynomial remainder theorem for?
If a polynomial is divided by x - c, we can use the Remainder theorem to evaluate the polynomial at c.The Remainder theorem:If the polynomial f(x) is divided by x - c, then the remainder is f(c).Example:Given f(x) = x^3 - 4x^2 + 5x + 3, use the remainder theorem to find f(2).Solution:By the remainder theorem, if f(x) is divided by x - 2, then the remainder is f(2).We can use the synthetic division to divide.2] 1 -4 5 32 -4 2__________1 -2 1 5The remainder is 5, so f(2) = 5Check:f(x) = x^3 - 4x^2 + 5x + 3f(2) = (2)^3 - 4(2)^2 + 5(2) + 3 = 8 - 16 + 10 + 3 = 5
What is the remainder when (x3 1) is divided by (x2 x 1)?
To find the remainder when ( x^3 + 1 ) is divided by ( x^2 + x + 1 ), we can use polynomial long division. Upon performing the division, we find that the remainder is a polynomial of degree less than the divisor, which is ( x^2 + x + 1 ). The result shows that the remainder is ( -x + 1 ). Thus, the remainder when ( x^3 + 1 ) is divided by ( x^2 + x + 1 ) is ( -x + 1 ).
What is the remainder when the polynomial x4 5x2 10x 12 is divided by x plus 2?
I assume you meant x^4 + 5x^2 +10x + 12. The remainder is 28
What is polynomial division?
That means that you divide one polynomial by another polynomial. Basically, if you have polynomials "A" and "B", you look for a polynomial "C" and a remainder "R", such that: B x C + R = A ... such that the remainder has a lower degree than polynomial "B", the polynomial by which you are dividing. For example, if you divide by a polynomial of degree 3, the remainder must be of degree 2 or less.
What is the remainder when 2 is synthetically divided into the polynomial-3x2 7x-9?
Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "times", "equals". Here, there is no visible symbol before 7x.
What number as a remainder of 1 when divided by 2 as a remainder of 2 when divided by 3 as a remainder of 3 when divided by 4 and a remainder of 4 when divided by 5?
59
What number divided by 2 has a remainder 1 divided by 3 has a remainder 2 divided by four has a remainder 3 divided by 5 has a remainder 4?
29
What is the remainder of 2 divided by 1?
2
