To identify the factors of the quadratic expression x² + 4x – 210, we can use the method of factoring.
The expression can be factored into the form (x + a)(x + b), where ‘a’ and ‘b’ are two numbers that add up to the coefficient of the linear term (which is 4) and multiply to give the constant term (-210).
Let’s first find two numbers that meet these criteria. We need:
- a + b = 4
- a * b = -210
After checking different factors of -210, we find that the numbers 15 and -14 work:
- 15 + (-14) = 1
- 15 * (-14) = -210
Now we can write the factors of the expression:
(x + 15)(x – 14)
Thus, the factors of x² + 4x – 210 are (x + 15) and (x – 14).