The resulting polynomial after subtraction is [tex]4v^{3} +4v^{2}-17v-1[/tex]
It is given that [tex]h(x) = 8v^{3} + 4v^{2} +10v - 8[/tex] and [tex]g(x) = 8v^{2} + 12v^{3} -7v - 9[/tex]
We need to subtract them:
A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
While applying arithmetic operation of subtraction and addition, coefficient of same terms are formulated.
Hence, here after subtraction we get, the polynomial
[tex]g(x)-h(x)=h(x) =g(x) = 12v^{3} + 8v^{2} -7v - 9 - (8v^{3} + 4v^{2} +10v - 8)[/tex][tex]=4v^{3} +4v^{2}-17v-1[/tex]
Hence, resulting polynomial after subtraction is [tex]4v^{3} +4v^{2}-17v-1[/tex]
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