find the zeros of the quadratic polynomial x²-7 x + 12 and verify the relationship between the zeros and the coefficient
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hope this helps u ...frnd
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simran87:
wlcm dear : )
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x²-7x+12 = x² -3x -4x +12
= x(x-3) -4(x-3)
= (x-4)(x-3)
x-4=0
x=4
x-3=0
x=3
Therefore the zeroes are 4 and 3.
VERIFICATION
Sum of zeroes
α+β= -b/a
4+3= -(-7/1)
7=7
Product of zeroes
αβ= c/a
4×3= 12/1
12=12
Verified
= x(x-3) -4(x-3)
= (x-4)(x-3)
x-4=0
x=4
x-3=0
x=3
Therefore the zeroes are 4 and 3.
VERIFICATION
Sum of zeroes
α+β= -b/a
4+3= -(-7/1)
7=7
Product of zeroes
αβ= c/a
4×3= 12/1
12=12
Verified
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