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Q: What is the remainder R when the polynomial p(x) is divided by (x - 2)?
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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 is the remainder when 2 is synthetically divided into the polynomial -3x2 plus 7x-9?

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

bghgbh


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 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 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 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 is the remainder of 2 divided by 1?

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What is 2 divided by 61 with remainder?

0.0328


What is the remainder of 7 divided by 2?

3.5


What number can be divided by 2 with a remainder of 1 divided by 3 a remainder of 2 divided by 4 a remainder of 3 divided by 5 a remainder of 4?

179 works until divided by 7 the remainder is 6. 2519 works till 10....