Math, asked by nitin8376, 20 days ago

There is only ___ quadratic polynomial who's zeroes are 1 and 2 and coefficients of x^2is unit of

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Answered by pulakmath007
2

SOLUTION

TO FILL IN THE BLANK

There is only ___ quadratic polynomial whose zeroes are 1 and 2 and coefficients of x² is unit

EVALUATION

First we find quadratic polynomial who's zeroes are 1 and 2

Now quadratic polynomial who's zeroes are 1 and 2 is of the form

 \sf = k[ {x}^{2} - (1 + 2)x + (1 \times 2) ]

 \sf = k({x}^{2} - 3x + 2)

Here it is given that coefficients of x² is unit

So From above k = 1

Hence we can conclude that there is only one such polynomial

FINAL ANSWER

There is only one quadratic polynomial whose zeroes are 1 and 2 and coefficients of x² is unit

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