Find the nature of the roots of the polynomial 2x x 5x 1
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Step-by-step explanation:
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The nature of the polynomial has two distinct real roots
Step-by-step explanation:
assuming the polynomial
2x² +5x+1
here a = 2
b = 5
c= 1
then discriminant is
b²-4ac = (5)²-4(2) (1)
= 25-8
= 17
since , b²-4ac >0
therefore , The polynomial has two distinct real roots
note : if b²-4ac >0 then equation has two distinct real roots
if b²-4ac < 0 then equation has no real roots
if b²-4ac = 0 then equation has two equal real roots
hence , The nature of the polynomial has two distinct real roots
#Learn more:
Find the nature of the roots of the quadratic polynomial x2+8x+12.
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