Answer:
-304
Step-by-step explanation:
To find the value of the polynomial 3x⁵ - 8x⁴ + 9x³ - 2x² for x = -2, we substitute -2 in place of x in the polynomial:
[tex]3(-2)^5 - 8(-2)^4 + 9(-2)^3 - 2(-2)^2[/tex]
Evaluate the exponents:
[tex]3(-32)-8(16)+9(-8)-2(4)[/tex]
Perform multiplication:
[tex]-96-128-72-8[/tex]
Subtract:
[tex]-224-72-8\\\\-296-8\\\\-304[/tex]
Therefore, the value of the given polynomial for x = -2 is:
[tex]\LARGE\boxed{\boxed{-304}}[/tex]
