X=-9is root of matrx |x,3,7|
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Yogita Ingle 5 years, 2 months ago
Expanding along R1
x(x2−12)−3(2x−14)+7(12−7x)=0
⇒x3−12x−6x+42+84−49x=0
⇒x3−67x+126=0 ………………i
Here 126×1=9×2×7126×1=9×2×7
For x=2, 23−67×2+126=134−134=0
Hence x=2 is a root.
For x=7,63−67×7+126=469−169=0
Hence x=7 is also a root.
2Thank You