x^2 - 23x + 42 is equal to : 1. (x - 21) (x + 2) 2. (x - 21) (x - 2) 3. (x + 21) (x + 2) 4. (x + 21) (x - 2)

x 2 \- 23x \+ 42 = x 2 \- (21 \+ 2)x \+ 42 = x 2 \- 21x \- 2x \+ 42 = (x 2 \- 21x) \- 2(2x \- 42) = x (x \- 21) \- 2(x \- 21) = (x \- 21)(x \- 2) Hence, option 2 is the correct option.

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Mathematics

x² - 23x + 42 is equal to :
(x - 21) (x + 2)
(x - 21) (x - 2)
(x + 21) (x + 2)
(x + 21) (x - 2)

Factorisation

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Answer

x² - 23x + 42

= x² - (21 + 2)x + 42

= x² - 21x - 2x + 42

= (x² - 21x) - 2(2x - 42)

= x (x - 21) - 2(x - 21)

= (x - 21)(x - 2)

Hence, option 2 is the correct option.

Answered By

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Mathematics

x² - 23x + 42 is equal to :
(x - 21) (x + 2)
(x - 21) (x - 2)
(x + 21) (x + 2)
(x + 21) (x - 2)

Factorisation

Answer

Related Questions

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x² + 6x + 9 - 4y²

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(x - 10) (x - 1)
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(x + 10) (x + 1)

(4x² - 4x + 1) ÷ (2x - 1) is equal to :
2x + 1
2x - 1
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none of these

(x + y)² - 3(x + y) - 4 is equal to :
(x + y + 4) (x + y - 1)
(x + y + 4) (x + y + 1)
(x + y - 4) (x + y + 1)
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Mathematics

x2 - 23x + 42 is equal to :(x - 21) (x + 2)(x - 21) (x - 2)(x + 21) (x + 2)(x + 21) (x - 2)

Factorisation

Answer

Related Questions

Factorise :x2 + 6x + 9 - 4y2

x2 - 9x - 10 is equal to :(x - 10) (x + 1)(x - 10) (x - 1)(x + 10) (x - 1)(x + 10) (x + 1)

(4x2 - 4x + 1) ÷ (2x - 1) is equal to :2x + 12x - 12x - 1none of these

(x + y)2 - 3(x + y) - 4 is equal to :(x + y + 4) (x + y - 1)(x + y + 4) (x + y + 1)(x + y - 4) (x + y + 1)(x + y - 4) (x + y - 1)

x² - 23x + 42 is equal to :
(x - 21) (x + 2)
(x - 21) (x - 2)
(x + 21) (x + 2)
(x + 21) (x - 2)

Factorise :
x² + 6x + 9 - 4y²

x² - 9x - 10 is equal to :
(x - 10) (x + 1)
(x - 10) (x - 1)
(x + 10) (x - 1)
(x + 10) (x + 1)

(4x² - 4x + 1) ÷ (2x - 1) is equal to :
2x + 1
2x - 1
2^x - 1
none of these

(x + y)² - 3(x + y) - 4 is equal to :
(x + y + 4) (x + y - 1)
(x + y + 4) (x + y + 1)
(x + y - 4) (x + y + 1)
(x + y - 4) (x + y - 1)