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2 years ago

Factor x2 + 11x + 30.

Mathematics

1 answer:

andrey2020 [161]2 years ago

6 0

Answer:

(x +5)(x +6)

Step-by-step explanation:

You're looking for two factors of 30 that total 11.

30 = 1×30 = 2×15 = 3×10 = 5×6

5+6 = 11, so those are the numbers you want in the binomial factors.

x^2 +11x +30 = (x +5)(x +6)

_____

Additional comment

You will notice that ...

(x +a)(x +b) = x^2 +(a+b)x +ab

The constant is the product of the factor constants, and the x-coefficient is their sum.

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