(M.C.Q.). The quadratic polynomial having zeroes 3 and -2 is :
a)x²-x+6 b) x²-x-6 c) x² + x + 6
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Answer:
b) X² - x -6
Step-by-step explanation:
a) x² - x + 6
By completing square method:-
x² - x X 1 +6
x² - 2 X x X 1/2 +(1/2)² - (1/2)² + 6
(x - 1/2)² = 1/4-6
(x -1/2)² = 1/4 -6x4/1x4
(x-1/2)² = 1/4 - 24/4
(x-1/2)² = -23/4
x-1/2 = +-√-23/4
x - 1/2 =+- √-23/2
x = 1/2+- √-23/2
x = 1+-√-23/2
x= 1 + √-23/2 or x = 1 - √-23/2
which is not a solution.
b) x² - x - 6
By splitting middle term
x² - 3x + 2x -6
x(x-3) + 2 (x-3)
(x+2) (x-3)
x = -2 or x = 3
which is the solution
Thanks
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