Question

why the cofficient of of the variable -4y3 is positive 4

$$\begin{gathered} \mathrm{ii})3{\left(\mathrm{y}+2\right)}^2-5\mathrm{y}\left({\mathrm{y}}^2+\frac{2}{\mathrm{y}}\right)+{\mathrm{y}}^3 \\ =3\left({\mathrm{y}}^2+4\mathrm{y}+4\right)-5{\mathrm{y}}^3-10+{\mathrm{y}}^3 \\ =3{\mathrm{y}}^2+12\mathrm{y}+12-4{\mathrm{y}}^3-10 \\ =-4\mathrm{y}+3{\mathrm{y}}^2+12\mathrm{y}+2 \\ \mathrm{In}\mathrm{this}\mathrm{reduced}\mathrm{form}\mathrm{of}\mathrm{given}\mathrm{polynomial},\mathrm{we}\mathrm{have}: \\ \mathrm{Constant}\mathrm{term}=2 \\ \mathrm{Term}\mathrm{with}\mathrm{the}\mathrm{highest}\mathrm{exponent}=-4{\mathrm{y}}^3 \\ \mathrm{So},\mathrm{coefficient}\mathrm{of}\mathrm{the}\mathrm{variable}\mathrm{having}\mathrm{the}\mathrm{highest}\mathrm{exponent}=4 \\ \mathrm{Hard} \end{gathered}$$

Answer 1

Dear student

$$\begin{gathered} \mathrm{There}\mathrm{is}\mathrm{a}\mathrm{printing}\mathrm{mistake},\mathrm{it}\mathrm{will}\mathrm{be}-4. \\ \mathrm{So},\mathrm{coeffcient}\mathrm{of}\mathrm{the}\mathrm{variable}\mathrm{with}\mathrm{highest}\mathrm{exponent}=-4 \end{gathered}$$
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