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Factorisation by Common Factors

Linked Compre...

Question

Linked Comprehensive type
$A = 5 x^{2} - 16 x - 21$
$B = 3 (x + 2)^{2} - 5 (x + 2) + 2$
Factors of $A$ are

(x + 1) (5 x - 21)

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(x - 1) (5 x - 21)

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(x + 1) (5 x + 21)

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(x - 1) (5 x + 21)

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Solution

The correct option is C $(x + 1) (5 x - 21)$
$A = 5 x^{2} - 116 x - 21$
$B = 3 (x + 2)^{2} - 5 (x + 2) + 2$
factor of A.
$5 x^{2} - 16 x - 21$
$\Rightarrow 5 x^{2} - 21 x + 5 x - 21$
$\Rightarrow x (5 x - 21) + 1 (5 x - 21)$
$\Rightarrow (5 x - 21) (x + 1)$

Suggest Corrections

Similar questions

A = 5 x^{2} - 16 x - 21

B = 3 (x + 2)^{2} - 5 (x + 2) + 2

B

A = 5 x^{2} - 16 x - 21

B = 3 (x + 2)^{2} - 5 (x + 2) + 2

A

B

5 x^{2} - 15 x - 7 x + 21

(x - y)

15 x + 17 y = 21

17 x + 15 y = 11

15 x + 17 y = 21

17 x + 15 y = 11

x + y

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