(3) $$ a^{2}+11 a+10 $$ Facticise and solve for a

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UpStudy AI · Accepted Answer

1. Begin with the quadratic expression:
   $$
   a^2 + 11a + 10
   $$

2. To factor, find two numbers that multiply to $$10$$ and add up to $$11$$. These numbers are $$1$$ and $$10$$ since:
   $$
   1 \times 10 = 10 \quad \text{and} \quad 1 + 10 = 11.
   $$

3. Factor the quadratic using these numbers:
   $$
   a^2 + 11a + 10 = (a + 1)(a + 10)
   $$

4. Set each factor equal to zero to solve for $$a$$:
   $$
   a + 1 = 0 \quad \text{or} \quad a + 10 = 0
   $$

5. Solve each equation:
   - For $$a + 1 = 0$$:
     $$
     a = -1
     $$
   - For $$a + 10 = 0$$:
     $$
     a = -10
     $$

Thus, the solutions are:
$$
a = -1 \quad \text{or} \quad a = -10.
$$
The solutions are $$ a = -1 $$ or $$ a = -10 $$.

(3)
Facticise and solve for a

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(3) Facticise and solve for a