Question

The partial factorization of x^2 – 3x – 10 is modeled with algebra tiles.

Answer 1

Step-by-step explanation:

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

hope it helps u ☺️

Answer 2

Answer:

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