Question

The sum of the polynomials 6x3 + 8x2 – 2x + 4 and 10x3 + x2 + 11x + 9 is . Adding 3x – 2 to this sum gives a sum of

Answer 1

Add the coefficients of like terms.

a) (6x³ +8x² -2x +4) + (10x³ +x² +11x +9)
   = (6+10)x³ + (8+1)x² + (-2+11)x + (4+9)
   = 16x³ +9x² +9x +13

b) (16x³ +9x² +9x +13) + (3x -2)
   = 16x³ +9x² + (9+3)x + (13-2)
   = 16x³ +9x² +12x +11