Evaluate the expression
x to the 4th power-2x to the 3rd power+5x squared+10x+12 for value of x=2
52
To evaluate the expression x^4 - 2x^3 + 5x^2 + 10x + 12 for the value of x = 2, follow these steps:
1. Replace every occurrence of x with 2 in the expression.
x^4 - 2x^3 + 5x^2 + 10x + 12
becomes
2^4 - 2(2)^3 + 5(2)^2 + 10(2) + 12
2. Simplify the expression using the order of operations (PEMDAS):
2^4 = 16
2^3 = 8
2^2 = 4
Now, substitute these values back into the expression:
16 - 2(8) + 5(4) + 10(2) + 12
3. Perform the multiplications and additions:
16 - 16 + 20 + 20 + 12
4. Simplify the expression further:
-16 + 20 + 20 + 12 = 36
Therefore, the value of the expression x^4 - 2x^3 + 5x^2 + 10x + 12 when x = 2 is 36.
To evaluate the expression for the value of x=2, you need to substitute 2 into the expression and then simplify it.
Plug in x=2 into the expression:
2^4 - 2(2)^3 + 5(2)^2 + 10(2) + 12
Now, perform the calculations:
16 - 2(8) + 5(4) + 20 + 12
16 - 16 + 20 + 20 + 12
52
Therefore, when x=2, the value of the expression x^4 - 2x^3 + 5x^2 + 10x + 12 is 52.