Factor x² + 6x + 8
Worked out line by line the way a teacher would write it.
Answer
| Factored form | (x + 2)(x + 4) |
Step-by-step solution
3 steps-
1 Givenx^{2} + 6 x + 8
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2 Find two numbers whose product is c = 8 and whose sum is b = 6
The goal is to write x² + bx + c as (x + p)(x + q). Multiplying that out gives x² + (p + q)x + p·q, so p and q must multiply to c = 8 and add up to b = 6.
List the pairs of numbers whose product is 8, with their signs, and pick the pair whose sum is 6.
2 \cdot 4 = 8,\qquad 2 + 4 = 6 -
3 Factored form\left(x + 2\right) \left(x + 4\right)
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