3. If $$ t=-2 $$, then $$ t^{3}-2 t^{2}+5 t-3= $$ ?

Question

UpStudy AI · Accepted Answer

To evaluate the expression $$ t^{3} - 2t^{2} + 5t - 3 $$ at $$ t = -2 $$, follow these steps:

1. **Calculate $$ t^{3} $$:**
   $$
   (-2)^{3} = -8
   $$

2. **Calculate $$ -2t^{2} $$:**
   $$
   -2 \times (-2)^{2} = -2 \times 4 = -8
   $$

3. **Calculate $$ 5t $$:**
   $$
   5 \times (-2) = -10
   $$

4. **Subtract 3:**
   $$
   -3
   $$

5. **Sum all the terms:**
   $$
   -8 - 8 - 10 - 3 = -29
   $$

**Final Answer:** $$-29$$
When $$ t = -2 $$, the expression $$ t^{3} - 2t^{2} + 5t - 3 $$ equals $$-29$$.

3. If \( t=-2 \), then \( t^{3}-2 t^{2}+5 t-3= \) ?