5(1/2)-4(1/2x1/2)+3= 2.5-(4×1/4)+3= 2.5-1+3= 5.5-1

=4.5

Value of the polynomial 5x - 4x² at x = 1/2

To find the value of the polynomial 5x - 4x² at x = 1/2, we need to substitute the value of x as 1/2 into the polynomial expression and simplify it.

Step 1: Substitute the value of x into the polynomial
Substituting x = 1/2 into the polynomial expression 5x - 4x², we get:
5(1/2) - 4(1/2)²

Step 2: Simplify the expression
To simplify this expression, we need to perform the operations in parentheses first. Let's start by squaring 1/2, which is (1/2)² = 1/4.

Now, we can substitute the value of (1/2)² back into the expression:
5(1/2) - 4(1/4)

Next, we can simplify the expression by performing the multiplications:
5/2 - 4/4

To subtract fractions, we need to have a common denominator. The least common denominator for 2 and 4 is 4. So, we can rewrite the expression as:
5/2 - 1

Step 3: Simplify further
To subtract fractions, we need to have the same denominator. The denominator of 5/2 is 2, so we can rewrite 1 as 2/2 to have the same denominator:
5/2 - 2/2

Now, we can subtract the fractions:
(5 - 2)/2 = 3/2

Step 4: Final Answer
Therefore, the value of the polynomial 5x - 4x² at x = 1/2 is 3/2 or 1.5.

Summary:
- The value of the polynomial 5x - 4x² at x = 1/2 is found by substituting x = 1/2 into the polynomial expression and simplifying it.
- After simplifying the expression, we get 3/2 or 1.5 as the final answer.