Question

multiply.$(x^{4}+1)(3x^{2}+9x+2)LXB0\bigcirc$ $3x^{6}+9x^{5}+2x^{4}+3x^{2}+9x+2LXB1\bigcirc$ $3x^{8}+9x^{4}+2x^{4}+3x^{2}+9x+2$done

Explanation:

Step1: Distribute $x^4$ to each term

$x^4 \cdot 3x^2 + x^4 \cdot 9x + x^4 \cdot 2 = 3x^6 + 9x^5 + 2x^4$

Step2: Distribute 1 to each term

$1 \cdot 3x^2 + 1 \cdot 9x + 1 \cdot 2 = 3x^2 + 9x + 2$

Step3: Combine all resulting terms

$3x^6 + 9x^5 + 2x^4 + 3x^2 + 9x + 2$

Answer:

$\boldsymbol{3x^6 + 9x^5 + 2x^4 + 3x^2 + 9x + 2}$ (second option)