Question

Adding/subtracting polynomials
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Answer 1

`g(x) - h(x) = { - x}^(4) - 11x`

Explanation:

`g(x) = {6x}^(2) - 4x + {3x}^(4)`

`h(x) = {6x}^(2) + 4 {x}^(4) + 7x`

`g(x) - h(x)`

`({6x}^(2) - 4x + {3x}^(4)) - ( {6x}^(2) + 4 {x}^(4) + 7x)`

`{6x}^(2) - 4x + {3x}^(4) - {6x}^(2) - 4 {x}^(4) - 7x`

`( {3x}^(4) - {4x}^(4)) + ( {6x}^(2) - 6x {}^(2) ) + ( - 4x - 7x)`

`{ - x}^(4) - 11x`