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How to split the middle term …

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How to split the middle term of a polynomial give a suitable example

Posted by Nikhil Redhu 8 years, 7 months ago

CBSE > Class 09 > Mathematics

1 answers

Rachna Gupta 8 years, 7 months ago

ax²+ bx + c

= ax² + ex + fx + c ( where ex and fx are factors of ac and their sum is equal to bx ).

Example:

1. x² + 7x + 10

= factors of 10 are 5 × 2. Also, 5 + 2 = 7

= hence, x² + 5x + 2x + 10

= x (x+5) + 2 (x+5)

= (x+5)(x+2)

2. 2x²+ 12x + 10

= factors of 20 are 10 × 2. Also, 10+2 = 12.

= Hence, 2x² +10x + 2x + 10

= 2x (x + 5)+2 (x+5)

= (x+5)(2x+2)

Hope it helps!

0Thank You

ANSWER

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Posted by Yash Pandey 6 months, 1 week ago

CBSE > Class 09 > Mathematics