Question

P(x)
= 2-5x² + 3x
Q(x) = 15 - 8x+ 16x²
P(x) + Q(x) =

Answer 1

`{ \purple{ \sf{11 {x}^(2) - 5x + 18}}}`

Explanation:

Re-arrange the problem in the form of ax²+bx+c = 0. i.e. quadratic equation.

`{ \red{ \sf{p(x) = - 5 {x}^(2) + 3x + 2}}}`

`{ \red{ \sf{q(x) = 16 {x}^(2) - 8x + 15}}}`

`{ \red{ \sf{p(x) + q(x) = \: ? }}}`

`{ \green{ \sf{p(x) + q(x) }}}`

`{ \red{ \sf{ = ({ - 5x}^(2) + 3x + 2) + (16 {x}^(2) - 8x + 15)}}}`

`{ \red{ \sf{ - 5 {x}^(2) + 3x + 2 + 16 {x}^(2) - 8x + 15}}}`

`{ \blue{ \sf{11 {x}^(2) - 5x + 18}}}`