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What is the factor of XY?

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What is the factor of XY?

xy has factors 1, x, y, xy. Therefore the common factor is x.

How do you find the factor of a Quadrinomial?

A polynomial of four terms, known as a quadrinomial, can be factored by grouping it into two binomials, which are polynomials of two terms. Identify and remove the greatest common factor, which is common to each term in the polynomial. For example, the greatest common factor for the polynomial 5x^2 + 10x is 5x.

What is the factored form of 3x 24?

3x×24.

How do you factor polynomials using synthetic division?

Synthetic division is another way to divide a polynomial by the binomial x – c , where c is a constant.

  1. Step 1: Set up the synthetic division.
  2. Step 2: Bring down the leading coefficient to the bottom row.
  3. Step 3: Multiply c by the value just written on the bottom row.
  4. Step 4: Add the column created in step 3.
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How do you explain the factor theorem?

Factor Theorem

  1. According to factor theorem, if f(x) is a polynomial of degree n ≥ 1 and ‘a’ is any real number, then, (x-a) is a factor of f(x), if f(a)=0.
  2. Also, we can say, if (x-a) is a factor of polynomial f(x), then f(a) = 0.

How does factor theorem helps you in solving polynomial equation?

The Factor Theorem is another theorem that helps us analyze polynomial equations. It tells us how the zeros of a polynomial are related to the factors. Recall that the Division Algorithm tells us f(x)=(x−k)q(x)+r f ( x ) = ( x − k ) q ( x ) + r .

How do you factor x n + y n = z n?

First, see Way to show x n + y n = z n factorises as ( x + y) ( x + ζ y) ⋯ ( x + ζ n − 1 y) = z n. Since we have this factorisation, we need to know in what minimal way we need to combine the n th roots of unity so that we have a polynomial over the integers again.

Is X + a a factor of xn + an if n is odd?

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Observe if n is even then f ( − a) = ( −a)n + an = an +an = 2an ≠ 0 and hence x + a is not a factor of xn +an if n is even and hence x +a is a factor of xn + an if n is odd.

What is the $X -R$ is a factor of?

†: Factor Theorem: $x -r$ is a factor of $f(x)$ if and only if $f(r) = 0$. abstract-algebrapolynomialsalternative-proof Share Cite Follow edited Jan 26 ’15 at 9:07 Lord_Farin 17k99 gold badges4444 silver badges117117 bronze badges asked Jan 25 ’15 at 21:08 FlipFlip 72811 gold badge88 silver badges2222 bronze badges $\\endgroup$ 4 1