Question

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

Answer 1

Answer with explanation:

We have to multiply a binomial with Trinomial.

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

Answer 2

When you combine like terms you would get
2x^3+13x^2+26x+16
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