7. Find a quadratic polynomial, the sum and product of whose zeroes are – 10 and 25 respectively. Hence find the zeroes.
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quadratic equation- x^2- (sum)x+ product
=x^2-(-10) x+25
=x^2+10x+25
Zeroes of this polynomial-
x^2+10x+25
=x^2+5x+5x+25
=x (x+5)+5 (x+5)
=(x+5)(x+5)
Hence,
1st zero-- x+5=0
x=-5
2nd zero-- x+5=0
x=-5
⊙____⊙ Hope This Helps:D
=x^2-(-10) x+25
=x^2+10x+25
Zeroes of this polynomial-
x^2+10x+25
=x^2+5x+5x+25
=x (x+5)+5 (x+5)
=(x+5)(x+5)
Hence,
1st zero-- x+5=0
x=-5
2nd zero-- x+5=0
x=-5
⊙____⊙ Hope This Helps:D
dhadshini:
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