Question

x4 -7x2 +1 के गुणनखण्ड होंगे-​

Answer 1

Answer:

instinct in factoring is completing the square. x4−7x2+1 naturally becomes (x2−1)2−5x2 or (x2+1)2−9x2. Of the two the latter is a difference of squares and is thus more useful. Thus

x4−7x2+1=(x2+1)2−9x2=(x2+1+3x)(x2+1−3x)