Find the zeroes of the polynomials
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hope this helps you...
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dulari38:
thanks
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To find the zeroes of polynomial we equate it to zero
1]
4x²-4x+1 = 0
(2x)² -2(2x)(1) + (1)² = 0
(2x-1)² = 0
(2x-1)(2x-1) = 0
2x-1 = 0
x = 1/2
_________
2]
6x²-7x-3 = 0
6x²-9x+2x-3 = 0
3x(2x-3) +1(2x-3) = 0
(2x-3)(3x+1) = 0
2x-3 = 0. OR. 3x+1 = 0
x = 3/2. OR x = -1/3
________________
3]
3x²-x-4 = 0
3x²-4x+3x-4 = 0
x(3x-4)+1(3x-4) = 0
(3x-4)(x+1) = 0
3x-4 = 0. OR. x+1 = 0
x = 4/3. OR. x = -1
1]
4x²-4x+1 = 0
(2x)² -2(2x)(1) + (1)² = 0
(2x-1)² = 0
(2x-1)(2x-1) = 0
2x-1 = 0
x = 1/2
_________
2]
6x²-7x-3 = 0
6x²-9x+2x-3 = 0
3x(2x-3) +1(2x-3) = 0
(2x-3)(3x+1) = 0
2x-3 = 0. OR. 3x+1 = 0
x = 3/2. OR x = -1/3
________________
3]
3x²-x-4 = 0
3x²-4x+3x-4 = 0
x(3x-4)+1(3x-4) = 0
(3x-4)(x+1) = 0
3x-4 = 0. OR. x+1 = 0
x = 4/3. OR. x = -1
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