Esmith019 Esmith019
  • 01-02-2018
  • Mathematics
contestada

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

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Аноним Аноним
  • 01-02-2018
When you combine like terms you would get
2x^3+13x^2+26x+16
Have a great day!!!
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Аноним Аноним
  • 05-07-2019

Answer with explanation:

We have to multiply a binomial with Trinomial.

   [tex]\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[/tex]

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