Answer:
[tex]2x^3+9x^2+16x+21[/tex]
Step-by-step explanation:
So we have the expression:
[tex](x+3)(2x^2+3x+7)[/tex]
Use the distribute property. Multiply each term on the right by (x+3):
[tex](2x^2)(x+3)+(3x)(x+3)+(7)(x+3)[/tex]
Distribute further:
[tex]=(2x^3+6x^2)+(3x^2+9x)+(7x+21)[/tex]
Combine like terms:
[tex]=(2x^3)+(6x^2+3x^2)+(9x+7x)+21\\=2x^3+9x^2+16x+21[/tex]
A polynomial in standard form has terms in descending order based on degree.
And we have that. Thus, we are done :)
