Questions: If t=-3, then 3t^2+5t+6 equals (a) -36 (b) -6 (c) 6 (d) 18

Solution Steps

To solve the given expression $3t^2 + 5t + 6$ for $t = -3$, we need to substitute $-3$ for $t$ in the expression and then evaluate it.

We start with the expression $3t^2 + 5t + 6$. To find its value when $t = -3$, we substitute $-3$ for $t$:

$$3(-3)^2 + 5(-3) + 6$$

First, calculate $(-3)^2$:

$$(-3)^2 = 9$$

Next, multiply by 3:

$$3 \times 9 = 27$$

Then, calculate $5(-3)$:

$$5 \times (-3) = -15$$

Finally, add all the terms together:

$$27 + (-15) + 6 = 27 - 15 + 6 = 18$$

Final Answer