Question

Add the following polynomials. 

i. 7x⁴ – 2x³ + x + 10; 3x⁴ + 15x³ + 9x² – 8x + 2 

ii. 3p³q + 2p²q + 7; 2p²q + 4pq – 2p³q

Answer 1

i. (7x⁴ – 2x³ + x + 10) + (3x⁴ + 15x³ + 9x² – 8x + 2) 

= 7x⁴ – 2x³ + x + 10 + 3x⁴ + 15x³ + 9x² – 8x + 2 

= 7x⁴ + 3x⁴ – 2x³ + 15x³ + 9x² + x – 8x + 10 + 2 

= 10x⁴ + 13x³ + 9x² – 7x + 12 

ii. (3p³q + 2p²q + 7) + (2p²q + 4pq – 2p³q)

= 3p³q + 2p²q + 7 + 2p²q + 4pq – 2p³q

= 3p³q – 2p³q + 2p²q + 2p²q + 4pq + 7 

= p³q + 4p²q + 4pq + 7