Question

$x2 - 32x - 105$

Answer 1

here your Solution!
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➡ x^2 -32x -105

➡ x^2 -35x +3x -105

➡ x( x-35) +3 (x-35)

➡ (X+3) (x-35)

➡ X = -3 & 35 Ans

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Answer 2

Heya!!✋

Here is your answer.

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=> At first, I want to give a easiest way to solve this type of math.

You should find the prime factor of constant. Here :

105 = 3 × 35
= 3 × 5 × 7

Then, you have to find, how can you get the value of the middle by addition or substraction by the prime factors of constant. Here :

32 = -( 7× 5 ) +3
= -35 + 3

At last , you have to use this term. Here:

x² - 32x - 105

=> x² - 35x + 3x - 105

=> x ( x-35) + 3 (x - 35)

=> (x + 3) ( x- 35) [ Answer]

Hope this rules will help you, friend. :)