Given that the product of polynomials x2+ax+b and x2-2x-3 does not contain x3 and x2 terms, the values of a and b are ().

Analysis:

Multiply two polynomials, and after merging similar terms, make the coefficients of the x3 and x2 terms of the result zero, and then solve.

Answer:

Solution: ∫ (x2+ax+b) (x2-2x-3) = x4-2x3-3x2+ax3-2ax2-3ax+bx2-2bx-3b,

= x4+(-2+a)x3+(-3-2a+b)x2+(-3a-2b)x-3b，

∴ Let the product of polynomials x2+ax+b and x2-2x-3 not contain x3 and x2 terms,

Then there is

2+a=0

3? 2a+b=0

Solution:

a=2

b=7

.