Simplify the following algebraic expressions:
Evaluate;
P(-1/2) if P(x)= 2X^4 + X^3 + 12
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just put 1/2 in for x and compute.
(1/2)^4= 1/16, (1/2)^3= 1/8
ok that I did put wasn't sure thank you
To simplify an algebraic expression, we substitute the given value into the expression and simplify it.
Given: P(x) = 2x^4 + x^3 + 12
To evaluate P(-1/2), we substitute x = -1/2 into the expression:
P(-1/2) = 2(-1/2)^4 + (-1/2)^3 + 12
Now we simplify the expression step by step:
Step 1: Simplify the exponents.
(-1/2)^4 = (-1/2) * (-1/2) * (-1/2) * (-1/2)
= 1/16
(-1/2)^3 = (-1/2) * (-1/2) * (-1/2)
= -1/8
Step 2: Substitute the simplified exponents back into the expression:
P(-1/2) = 2(1/16) + (-1/8) + 12
= 1/8 - 1/8 + 12
= 12
Therefore, P(-1/2) = 12.