Let f(x) = x^4-3x^2 + 2 and g(x) = 2x^4 - 6x^2 + 2x -1. What is the degree of f(x) * g(x)?
Find t if the expansion of the product of x^3 - 4x^2 + 2x - 5 and x^2 + tx - 7 has no x^2 term.
Degree of f(x)*g(x) is 8 (from x^4*2x^4 → 2x^8
Coefficient of x^2 in the product is : (-4)*(-7) + 2t - 5 → 23 - 2t
For this to be zero we must have t = 11.5
.
+24 
