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CBSE Class 8 Answered

(6x2+17x+12)/(3x+4) Solve them
Asked by Jaspalghanghas | 22 Dec, 2018, 06:32: AM
answered-by-expert Expert Answer
Let us factorise the polynomial :   6x²+17x +12 .............(1)
 
we need to get two numbers, so that their sum is 17 and product 6×12=72. The numbers are 8 and 9
 
hence the polynomial given in (1) is rewritten,  6x2+8x+9x+12  = 2x(3x+4) +3(3x+4) = (3x+4)(2x+3)
 
Hence begin mathsize 12px style fraction numerator open parentheses 6 x squared plus 17 x plus 12 close parentheses over denominator open parentheses 3 x plus 4 close parentheses end fraction space equals space fraction numerator open parentheses 3 x plus 4 close parentheses begin display style open parentheses 2 x plus 3 close parentheses end style over denominator open parentheses 3 x plus 4 close parentheses end fraction space equals space open parentheses 2 x plus 3 close parentheses end style
Answered by Thiyagarajan K | 23 Dec, 2018, 10:26: PM

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