1) 3x square-4x+7
2) 4x square-5x+6
3) 2x square-4x+3
To evaluate these quadratic expressions, you need to substitute a value for the variable 'x' and perform the mathematical operations.
Let's evaluate each expression one by one:
1) 3x^2 - 4x + 7:
To evaluate this expression, you can substitute a value for 'x' and simplify the expression by following the order of operations (PEMDAS/BODMAS). For example, let's substitute x = 2:
3(2)^2 - 4(2) + 7
Simplifying the expression:
3(4) - 8 + 7
12 - 8 + 7
4 + 7
= 11
So, when x = 2, the value of the expression 3x^2 - 4x + 7 is 11.
2) 4x^2 - 5x + 6:
Similarly, let's substitute x = 3:
4(3)^2 - 5(3) + 6
4(9) - 15 + 6
36 - 15 + 6
21 + 6
= 27
So, when x = 3, the value of the expression 4x^2 - 5x + 6 is 27.
3) 2x^2 - 4x + 3:
Let's substitute x = 1/2:
2(1/2)^2 - 4(1/2) + 3
2(1/4) - 2 + 3
1/2 - 2 + 3
= 2.5
So, when x = 1/2, the value of the expression 2x^2 - 4x + 3 is 2.5.
Remember, you can always choose a different value for 'x' to evaluate these expressions.