Answer:
The polynomial is -2x³ + 13x² + 3x - 54.
Step-by-step explanation:
The binomial expression is: (x - 6)
The trinomial expression is: (-2x² + x + 9)
Multiply the two expressions to determine the resulting polynomial as follows:
[tex](x-6)(-2x^{2}+x+9)=x(-2x^{2}+x+9)-6(-2x^{2}+x+9)[/tex]
[tex]=-2x^{3}+x^{2}+9x+12x^{2}-6x-54\\=-2x^{3}+13x^{2}+3x-54[/tex]
Thus, the polynomial is -2x³ + 13x² + 3x - 54.
