Find each of the following products:
(x3−5x2+3x+1)×(x2−3)
(x3−5x2+3x+1)×(x2−3)=(x3−5x2+3x+1)×x2+(x3−5x2+3x+1)×(−3)=x5−5x4+3x3+x2−3x3+15x2−9x−3=x5−5x4+16x2−9x−3
(x3−y3)×(x2+y2)
(x3−2x2+5)×(4x−1)
The factors of x4 + x2 + 25 are (a) (x2 + 3x + 5) (x2 − 3x + 5) (b) (x2 + 3x + 5) (x2 + 3x − 5) (c) (x2 + x +5) (x2 − x + 5) (d) none of these