Write each of the following polynomials in the standard form. Also write their degree: `x^2+3+6x+5x^4` (ii) `a^2+4+5a^6` (iii)`(x^3-1)(x^3-4)` (iv) `(y^3-2)(y^3+11)` (v)`(a^3-3/8)(a^3+16/7)` (vi) `(a+3/4)(a+4/3)`

Explanation

(i) `x^2+3+6x+5x^4`
Standard form is written from variables having highest power to the variables having least power.
`=5x^4+x^2+6x+3`
The degree of the given expression will be `4` as it is the highest degree of any variable in this expression.

(ii) `a^2+4+5a^6`
Standard form is written from variables having highest power to the variables having least power.
`=5a^6+a^2+4`
The degree of the given expression will be `6` as it is the highest degree of any variable in this expression.

(iii) `(x^3-1)(x^3-4)`
`=x^6-5x^3+4`
Standard form is written from variables having highest power to the variables having least power.
`=x^6-5x^3+4`
The degree of the given expression will be `6` as it is the highest degree of any variable in this expression.

(iv)`(y^3-2)(y^3+11)`
`=y^6+9y^3-22`
Standard form is written from variables having highest power to the variables having least power.
`=y^6+9y^3-22`
The degree of the given expression will be `6` as it is the highest degree of any variable in this expression.

(v)`(a^3-3/8)(a^3+16/7)`
`=a^6+27/136a^3-48/136`
Standard form is written from variables having highest power to the variables having least power.
`=a^6+27/136a^3-48/136`
The degree of the given expression will be `6` as it is the highest degree of any variable in this expression.

(vi)`(a+3/4)(a+4/3)`
`=a^2+25/12a+1`
Standard form is written from variables having highest power to the variables having least power.
`=a^2+25/12a+1`
The degree of the given expression will be `2` as it is the highest degree of any variable in this expression.