Question

If t = -3, then 3t2 +5t+6 equals

Answer 1

If t = -3, then 3t2 +5t+6 equals

Step-by-step explanation:

Answer 2

If ( t = -3 ), then
`\( 3t^2 + 5t + 6 \)` equals 0.

Step-by-step explanation:

To find the value of
`\( 3t^2 + 5t + 6 \)` when ( t = -3 ), substitute (-3) for ( t ) in the expression:

`\[ 3(-3)^2 + 5(-3) + 6 \]`

= 3(9) - 15 + 6

= 27 - 15 + 6

= 12 - 15

= -3

Therefore, when ( t = -3 ), \
`( 3t^2 + 5t + 6 \)` evaluates to (-3).

Understanding how to substitute values into algebraic expressions is fundamental in algebra. In this case, replacing ( t ) with (-3) allows us to find the specific value of the expression for that given input.

It's worth noting that this expression equals 0 for ( t = -3 ). This is an interesting mathematical result, indicating that the expression
`\( 3t^2 + 5t + 6 \) factors as \( (t + 3)(3t + 2) \),` making it equal to 0 when either \
`( t = -3 \) or \( t = -(2)/(3) \).` This connection between factors and roots is a crucial concept in algebra.