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5x = 2 (4-1) is not aquadratic polynomial |
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Answer» ong>Answer: Comparing the given polynomial with ax +bx+c, we get a=1,b=5,c=4 p(4)=(4) 2 −5(4)+4 =16+20+4 =0 p(1)=(1) 2 −5(1)+4 =1−5+4 =0
There ,4,1 are the zeroes of polynomial x 2 −5x+4 So, we TAKE α=4 and β=1 Sum of zeroes:
α+β= a −b
⇒4+1=( 4 −5
) ⇒5=5
Product of zeroes:
αβ= a c
⇒4×1=( 1 4
) ⇒4=4
HENCE, proved |
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