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How do you factor x3 2×2 5x 6?

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How do you factor x3 2×2 5x 6?

Calculation:

  1. Let f(x) = x3 + 2×2 – 5x – 6.
  2. f(-1) = (-1)3 + 2(-1)2 – 5(-1) – 6.
  3. ⇒ x3 + 2×2 – 5x – 6 = k(x + 1)(x – 2)(x + 3)

What is the factorization of X² 5x 6?

Answer: The Factors of x² – 5x + 6 are (x-3) (x-2)

How do you factor polynomials?

Step 1: Group the first two terms together and then the last two terms together. Step 2: Factor out a GCF from each separate binomial. Step 3: Factor out the common binomial. Note that if we multiply our answer out, we do get the original polynomial.

How do you Factorise a polynomial using factor theorem?

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Factorization Of Polynomials Using Factor Theorem

  1. Obtain the polynomial p(x).
  2. Obtain the constant term in p(x) and find its all possible factors.
  3. Take one of the factors, say a and replace x by it in the given polynomial.
  4. Obtain the factors equal in no. to the degree of polynomial.
  5. Write p(x) = k (x–a) (x–b) (x–c) …..

How do you factor x3 x2 10x 8?

Answer and Explanation: We are given the expression x3−x2−10x−8 x 3 − x 2 − 10 x − 8 . Therefore, the factored form of the given expression is (x+1)(x+2)(x−4) ( x + 1 ) ( x + 2 ) ( x − 4 ) .

How do you factor 6x 2 5x 6?

Answer: The factors of 6x² – 5x- 6 are (2x-3) (3x+2)

What is the inverse process of factoring polynomials?

Factoring polynomials is the inverse process of multiplying polynomials. After factoring a polynomial, if we divide the polynomial with the factors then the remainder will be zero.

How does the factor theorem work?

According to the Factor Theorem: If we divide a polynomial f(x) by (x – c), and (x – c) is a factor of the polynomial f(x), then the remainder of that division is simply equal to 0. Thus, according to this theorem, if the remainder of a division like those described above equals zero, (x – c) must be a factor.

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How do you use 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.