Question

x²-x-6

find factories​

Answer 1

Answer:

( x+2) (x-3 )

Step-by-step explanation:

x²+2x-3x-6

x*(x+2)-3(x+2)

(x+2)(x-3)

Answer 2

The factors of $\bf {x}^{2} - x - 6$ are $\bf \red{ (x - 3)(x + 2)}$

Given: A quadratic polynomial ${x}^{2} - x - 6$

To find: Factors

Solution:

Step 1:

Split the middle term like that, multiplication of terms will equal to multiplication of first and last term and addition/subtraction of the terms is equal to the middle term.

So,

${x}^{2} \bold{- 3x + 2x} - 6$

Step 2:

Take common factors of first two terms and last two terms

$x \bold{(x - 3)} + 2 \bold{(x - 3)}$

Step 3:

Take common factors of two terms

$(x - 3)(x + 2)$

Thus,

Factors of $\bf {x}^{2} - x - 6$ are $\bf \red{ (x - 3)(x + 2)}$

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