Ask for some questions about mathematical polynomials Let the polynomials P (x) = x & sup3; + 3x & sup2; + ax + B and Q (x) = x ^ 4 + X & sup3; + ax & sup2; + 2x + B have the common factor X + 3, then the greatest common factor of P (x) and Q (x) is? Answer (x + 3) (X-2) The greatest common factor of polynomials x ^ 4 + 2x & sup3; - 4x & sup2; - 2x + 3 and X & sup3; + 4x & sup2; + X-6 is (besides factorization, is there any simple method or formula?) answer X & sup2; + 2x-3 If we divide the polynomials f (x) and G (x) by 2x & sup2; - 3x-2, we can get the remainder formula 2x + 3 and 4x-1 respectively, then the remainder formula obtained by dividing f (x) - G (x) by 2x + 1 is? 5

Ask for some questions about mathematical polynomials Let the polynomials P (x) = x & sup3; + 3x & sup2; + ax + B and Q (x) = x ^ 4 + X & sup3; + ax & sup2; + 2x + B have the common factor X + 3, then the greatest common factor of P (x) and Q (x) is? Answer (x + 3) (X-2) The greatest common factor of polynomials x ^ 4 + 2x & sup3; - 4x & sup2; - 2x + 3 and X & sup3; + 4x & sup2; + X-6 is (besides factorization, is there any simple method or formula?) answer X & sup2; + 2x-3 If we divide the polynomials f (x) and G (x) by 2x & sup2; - 3x-2, we can get the remainder formula 2x + 3 and 4x-1 respectively, then the remainder formula obtained by dividing f (x) - G (x) by 2x + 1 is? 5

Let the polynomials P (x) = x & sup3; + 3x & sup2; + ax + B and Q (x) = x ^ 4 + X & sup3; + ax & sup2; + 2x + B have the common factor X + 3, then the greatest common factor of P (x) and Q (x) is? Answer (x + 3) (X-2). By removing x + 3 by short division, two equations about a and B can be obtained, and the a B multinomial x ^ 4 + 2x & sup3; - 4x & sup2; - 2x

Mathematical polynomial problem
It is known that a = 2x & sup2; + 3xy-2x-1, B = - X & sup2; + XY-1
(1) Find the value of 3A + 6B;
(2) If the value of 3A + 6B has nothing to do with the value of X, find the value of Y
Provide a message:
(1) The value of 3A + 6b is 15xy-6x-9
The second question is No

1)
3A+6B=15xy-6x+3
2)
The value of 3A + 6B = 15xy-6x + 3 = 3x (5y-2) + 3 has nothing to do with the value of X
5y-2=0
y=2/5

Polynomial (12 20:33:32)
If the polynomial 3x3 + 2ax2 ax of X and the polynomial 5x3-8x2 + 2x are added, the value of a is obtained and the sum of the two polynomials is obtained

(3x & sup3; + 2aX & sup2; - ax + (5x & sup3; - 8x & sup2; + 2x) = 8x & sup3; + (2a-8) x & sup2; + (2-A) x does not contain X & sup2;, so the coefficient of this term is 02a-8 = 02A = 8A = 4, so sum = 8x & sup3; + (2a-8) x & sup2; + (2-A) x = 8x & sup3; - 2x