Given x^2+x-1=0, find the value of 2002x^3+2001x^2-2003x-2004
2002X^3+2001x^2-2003x-2004
=X (2002x2+2001x-2003)-2004
=X (2001x2+2001x-2001+x2-2)-2004
=X (x2-2)-2004
=X (1-x-2)-2004
=-X2-x-2004
=-1-2004
=-2005
Factorization: the third power of X - the square of X - X+1
=X (square-1 of X)-(square-1 of X)
=(X-1)(x-1)(x+1)
RELATED INFORMATIONS
- 1. How to factorize "x to the 4th power plus 1"
- 2. The point 4.8 cm to the right of the origin on the number axis represents a rational number of 32, then the point 18 cm to the left of the number axis represents a rational number of ______.
- 3. The point 8 cm to the right of the origin on the number axis represents a rational number of 32, and what is the rational number 12 cm to the left of the number axis
- 4. A corresponding point of a number a on the number axis is to the left of the origin, and the absolute value of a =4, then a = what.
- 5. On the number axis, point A (representing the integer a) is to the left of the origin, point B (representing the integer b) is to the right of the origin, if the absolute value of a minus b equals 2015, And AO=4BO, the value of a+b is
- 6. There are two points on the number axis where the distance to the origin is equal to 2, which are +2 and -2. Use the absolute value to understand that the distance to the origin on the number axis is equal to 2 There are two points on the number axis where the distance to the origin is equal to 2, which are +2 and -2. Use the absolute value to understand to the origin on the number axis is equal to 2
- 7. The set of solutions of absolute value inequality x whose absolute value is less than or equal to (a is greater than or equal to 0) can be obtained as follows: the geometric meaning of the absolute value of x whose absolute value is less than or equal to a on the number axis is "the distance to the origin is not more than a ", so its solution set is -a greater than or equal to x less than or equal to a. According to the above, the following inequality can be solved:(1) the absolute value of x is less than or equal to 3(2) the absolute value of 2x-1 is less than or equal to 5 The set of solutions of absolute value inequality x whose absolute value is less than or equal to (a is greater than or equal to 0) can be obtained as follows: the geometric meaning of the absolute value of x whose absolute value is less than or equal to a on the number axis is that the distance to the origin is not more than a, so its solution set is that -a is greater than or equal to x whose absolute value is less than or equal to a. According to the above, the following inequality can be solved:(1) the absolute value of x is less than or equal to 3(2) the absolute value of 2x-1 is less than or equal to 5
- 8. How to solve absolute inequality by number axis?
- 9. Absolute value inequality solution |2X-1|-|X-2|<1 How to solve it with the number axis method,
- 10. 1+1/2+1/2 Square +1/2 cube +1/2 99+1/2 100 Process Details 1+1/2+1/2 Square +1/2 cube +1/2 99 power +1/2 100 power Process Details
- 11. Given that the 8th power of x - the 4th power of x +1=0, find the value of the 2008th power of x - the 2004th power of x + the 2000th power of x Given that the 8th power of x - the 4th power of x +1=0, find the value of the 2008 power of x - the 2004 power of x + the 2000 power of x
- 12. Calculation:(-2)2003+(-2)2002(hint:2003 and 2002 indicate the power)
- 13. Polynomial x 2003 power - x 2002 power y + x 2001 power y 2- x 2000 power y 3+... x y 2002 power - y 2003 power 1000 Terms of this polynomial Polynomial x 2003 power - x 2002 power y + x 2001 power y 2- x 2000 power y 3+... x 2002 power - y 2003 power 1000 Terms of this polynomial
- 14. If a+a+1=0, then the power of a is 2002+ the power of a is 2001+ the power of a is 2000=?
- 15. What is the last digit of the 2010 power of 3 plus (-2)
- 16. Calculation:32000-5×31999+6×31998
- 17. If the square of a + a +1=0, the 2001 power of a + the 2000 power of a + the 1999 power of a =
- 18. Given x4+x3+x2+x1=0, calculate the value of x100+x99+x98+x97+x96.
- 19. How much is the 98th power of the 99th power of the +2 of the 100th power of the +2 of the 2? How much is the 98th power of the 99th power of the 2th power +2 at + until the 1st power of the 2nd power How much is the 98th power of the 99th power of the 2th power +2 at + until the 1st power of the 2nd power at +1
- 20. Calculation:(-1)*(-1)*(-1)*…… *(-1) To the 99th power *(-1) to the 100th power =