1.

(6) Add the following polynomials.(i) \( 7 x^{4}-2 x^{3}+x+10 ; 3 x^{4}+15 x^{3}+9 x^{2}-8 x+2 \)(ii) \( 3 p^{3} q+2 p^{2} q+7 ; 2 p^{2} q+4 p q-2 p^{3} q \)

Answer»
i) (7x⁴-2x³+x+10) + (3x⁴+15x³+9x²-8x+2)
 =   (7x⁴+3x⁴)+(15x³-2x³)-(x-8x)+(10+2)
  =   10x⁴+13x³-7x+12
ii) (3p³q+2p²q+7) + (2p²q+4pq-2p³q)
 =   ( 3p³q-2p³q) + (2p²q-2p²q) +7+4pq
  =   p³q+7+4pq


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