Question

factories 1.4x^2-17x-21 2.4x^2-25x+21

Answer 1

$\textbf{- Answer -}$

$\textbf{1.}$

Now, 4x^2 - 17x - 21

= 4x^2 - (- 4 + 21)x - 21

= 4x^2 + 4x - 21x - 21

= 4x (x + 1) - 21 (x + 1)

= (x + 1) (4x - 21),

which is the required factorization.

$\textbf{2.}$

Now, 4x^2 - 25x + 21

= 4x^2 - (4 + 21)x + 21

= 4x^2 - 4x - 21x + 21

= 4x (x - 1) - 21 (x - 1)

= (x - 1) (4x - 21),

which is the required factorization.

#$\textbf{MarkAsBrainliest}$

Answer 2

4x² - 17x - 21

=> 4x² - (21 - 4)x - 21

=> 4x² - 21x + 4x - 21

××××××××××××××××××××××
=> x(4x - 21) + 1(4x - 21)
=> (x + 1)(4x - 21)

OR

=> 4x² - 21x + 4x - 21
=>4x² + 4x - 21x - 21
=> 4x(x + 1) - 21(x + 1)
=> (x + 1)(4x - 21)
×××××××××××××××××××××

(2):-

4x² - 25x + 21

=> 4x² - (21 + 4)x + 21

=> 4x² - 21x - 4x + 21

=> 4x² - 21x - 4x + 21

=> 4x² - 4x - 21x + 21

=>4x(x - 1) - 21(x - 1)

=> (x - 1)(4x - 21)



I hope this will help you

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