Question

evaluate the expression for the given value of the variable. 2t^2 - 3t + 14 for t = -2

Explanation:

Step1: Substitute t value

Substitute \(t = - 2\) into the expression \(2t^{2}-3t + 14\). We get \(2\times(-2)^{2}-3\times(-2)+14\).

Step2: Calculate exponent

First, calculate \((-2)^{2}=4\). So the expression becomes \(2\times4-3\times(-2)+14\).

Step3: Perform multiplications

Calculate \(2\times4 = 8\) and \(-3\times(-2)=6\). The expression is now \(8 + 6+14\).

Step4: Perform additions

\(8+6 = 14\), and \(14 + 14=28\).

Answer:

28