Find the zeros of the quadratic polynomial by graphical method
X2+5x+6,2x2-7x+6 and 6x2 +5x+3
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Given: The equations : x^2+5x+6, 2x^2-7x+6 and correct term 6x^2 +5x - 6
To find: The zeros of the quadratic polynomial by graphical method
Solution:
- Now we have given three equations:
x^2+5x+6, 2x^2-7x+6 and 6x^2 +5x+3
Solving them one by one:
- x^2+5x+6 = 0
x^2 - 2x - 3x + 6 = 0
x(x-2) - 3(x-2) = 0
(x-3)(x-2) = 0
x = 2,3
- 2x^2 - 7x + 6 = 0
2x^2 - 4x -3x + 6 = 0
2x(x - 2) -3(x - 2) = 0
(x - 2) (2x - 3) = 0
x = 2, 3/2
- 6x^2 + 5x - 6 = 0
6x^2 + 9x - 4x - 6 = 0
3x ( 2x +3) -2 ( 2x +3) = 0
(3x - 2)(2x + 3) = 0
x = 2/3 , -3/2
Answer:
So the zeroes are x^2+5x+6 = 2,3 , 2x^2-7x+6= 2, 3/2, 6x^2 +5x - 6 = 2/3 , -3/2
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