Find the value of 3x to the third power - 9x to the fourth power + 6x to the third power - 2x to the second power where x=1

First write out your equation with "x" in with the highest exponent in front:

-9x⁴+6x³+3x³-2x²

simplify by adding numbers with the same exponents together

-9x⁴+6x³+3x³-2x² =

-9x⁴+9x³-2x²

When x=1, it is important to know that 1 raised to any exponent will still always equal 1.

So, for your problem let's forget about the exponents and just plug in 1 for x.

-9x⁴+9x³-2x²

-9 (1) + 9 (1) - 2 (1) =

-9+9-2=

-2

Answer:

-9x⁴+6x³+3x³-2x² is equal to (-2) when x=1