已知多项式(-2x^2+3)与A的2倍的差是2x^2+2x-71.求多项式A2.x=1时,求A的值
问题描述:
已知多项式(-2x^2+3)与A的2倍的差是2x^2+2x-7
1.求多项式A
2.x=1时,求A的值
答
设A = ax²+bx+c
2倍A为 2ax²+2bx+2c
-2x²+3 - 2ax² - 2bx -2c = 2x²+2x-7
(-2-2a)x² - 2bx +(3-2c) =2x²+2x-7
所以:-2-2a =2
a =-2
-2b = 2
b=-1
3-2c =-7
c =-2
(1)A为 -2x² - x -2
(2)当x=1时,
A = -2-1-2 =-5