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Write out the common factor A (S-5) + 2B (X-5) · of the following polynomials
The original formula should be a (X-5) + 2B (X-5). If it is, the common factor is X-5
Examples of division by rotation
Typical examples: 1. Division by rotation 1. Find the greatest common factor of two positive numbers 8251 and 6105. (analysis: division by rotation → zero remainder → get the result) 8251 = 6105 × 1 + 2146. Obviously, the greatest common factor of 8251 and 6105 must also be 2146, and the common factor of 6105 and 2146 must also be 8251
How to find the greatest common factor by division? Example f (x) = x ^ 4-x ^ 3-4x ^ 2 + 4x + 1 g (x) = x ^ 2-x-1
Division is used to find the greatest common divisor of two integers, not the factor of a polynomial
RELATED INFORMATIONS
- 1. Can the greatest common factor obtained by division be a constant?
- 2. Advanced mathematics exercises F (x) is continuous in [0,1], differentiable in (0,1), ∫ (0,1) f (x) DX = 0 To prove that there is a point x belonging to (0,1) such that 2F (x) + XF (x) = 0
- 3. What is the greatest common factor of 0
- 4. The common factor of polynomial 2 (x-3) + X (3-x) is Why not 3-x? The answer is x-3
- 5. Find the greatest common divisor and the least common multiple of 336 and 1260
- 6. Write a quadratic equation of one variable according to the following requirements, and find their roots by factorization. (1) one root is 0, the other root is negative (2) One root is a positive number and the other is between - 3 and - 1
- 7. Proof: real coefficient polynomials of degree 3 or more can be factorized The results of decomposition are all polynomials with real coefficients,
- 8. Let a = (a ^ 2 + 1) (b ^ 2 + 1) - 4AB 1 2. Let a = 0, find the value of A.B
- 9. If one factor of polynomial x ^ 4 + MX ^ 2 + 3x + 4 is x ^ 2-x + 4, find the value of M and another factor
- 10. It is known that the polynomial x ^ 3-kx + 6 has a factor X + 3. Find the value of K
- 11. Fill in the appropriate number in to make the following multiplication vertical form true
- 12. In the following division formula, fill in the number to make the vertical form tenable, then the quotient maximum is () □
- 13. Do you have any tips for the vertical form of supplementary division?
- 14. In the following vertical forms, each letter represents a number from 0 to 9, and different letters represent different numbers. Find out the values that make the vertical form tenable. (2) （1）
- 15. What numbers do the letters in the following vertical form represent? a=______ b=______ c=______ e=______ ．
- 16. What numbers do the letters in the following vertical form represent? A B C D E F * 3 ____________________________ B C D E F A A B C D E F * 3 ____________________________ B C D E F A
- 17. If you know, please let me know,
- 18. When calculating vertical division, pay attention to the division from the most () position, and write the quotient on () when dividing to ()
- 19. 1 + 2 + 4 + 8 + 16 + 32 +... + 1024,
- 20. Using sequence 1, - 2,4, - 8,16, - 32 Ask a question and answer it The nth power of 2