# What do you get when you evaluate #5x-2# at both #0# and #–1#?

##### 1 Answer

When

When

#### Explanation:

Given the polynomial

- (a)
#x=0# and- (b)
#x="–"1# .

To **evaluate** a polynomial like this means to work out its numeric value when its variable is fixed at a specific number.

Our polynomial takes a number

It's like a two-player game. Player 1 picks a number, and it's Player 2's job to multiply that number by 5, and then subtract 2. We are Player 1, and our polynomial is Player 2.

Let's evaluate *replacing all the #x"'s"# with #0"'s"#*:

#color(white)=5x-2 color(magenta)(" at " x=0)#

#=5(0) - 2#

then we follow the order of operations, multiplying

#=0 - 2#

and finally subtracting 2:

#=" –2"#

So if Player 1 picks the number

If we evaluate

#color(white)=5x-2 color(magenta)(" at " x="–"1)#

#=5("–1") - 2#

#=" ""–5"" "-2#

#=" –7"#

So if Player 1 picks the number