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Yanka [14]
3 years ago
10

A partial factorization of x2-3x-10 is modeled with algebra tiles

Mathematics
1 answer:
Allushta [10]3 years ago
5 0

X² - 3x - 10


x² = x * x

10 can be factored:

1 x 10 ⇒⇒⇒ difference between factors = 9

2 x 5   ⇒⇒⇒ difference between factors = 3  ⇒ (The correct pair)


(x-5)(x+2) = x(x+2) - 5(x+2)

                = x² + 2x - 5x - 10

                = x² - 3x - 10



∴ x - 5 = 0  ⇒⇒⇒ x = 5

  x + 2 = 0  ⇒⇒⇒ x = -2

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                   =\frac{1}{6\sqrt{\frac{20}{36} }}

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