Evaluate the expression when $$ m=-6 $$ $$ m^{2}+7 m+4 $$

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UpStudy AI · Accepted Answer

Evaluate the expression by following steps:
- step0: Evaluate:
  $$m^{2}+7m+4$$
- step1: Substitute:
  $$\left(-6\right)^{2}+7\left(-6\right)+4$$
- step2: Multiply the numbers:
  $$\left(-6\right)^{2}-42+4$$
- step3: Evaluate the power:
  $$36-42+4$$
- step4: Calculate:
  $$-2$$
To evaluate the expression $$ m^{2} + 7m + 4 $$ when $$ m = -6 $$, we substitute $$-6$$ into the expression:

1. Substitute $$ m = -6 $$:
   $$
   (-6)^{2} + 7(-6) + 4
   $$

2. Calculate each term:
   - $$ (-6)^{2} = 36 $$
   - $$ 7(-6) = -42 $$

3. Combine the results:
   $$
   36 - 42 + 4
   $$

4. Simplify:
   $$
   36 - 42 = -6
   $$
   $$
   -6 + 4 = -2
   $$

Thus, the value of the expression when $$ m = -6 $$ is $$-2$$.
When $$ m = -6 $$, the expression $$ m^{2} + 7m + 4 $$ equals $$-2$$.

Evaluate the expression when \( m=-6 \) \[ m^{2}+7 m+4 \]

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