Question

Multiply the polynomials (x+2)(2x^2+9x+8)

Answer 1

When you combine like terms you would get
2x^3+13x^2+26x+16
Have a great day!!!

Answer 2

Answer with explanation:

We have to multiply a binomial with Trinomial.

`\rightarrow(x+2)(2x^2+9 x +8)\\\\=x * (2 x^2+9x+8)+2* (2 x^2+9x+8)\\\\=2x^3+9x^2+8 x+4 x^2+18 x+16\\\\ \text{adding like terms}\\\\=2 x^3+13 x^2+26 x+16\\\\ \text{used distributive property of multiplication with respect to addition and law of indices}}\\\\x^a* x^b=x^(a+b)\\\\a * (b+c)=a * b+a * c`