Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes, respectively.
4, 1

Question

Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes, respectively. 4, 1

Harshit Singh · Answer

Dear Student Given, Sum of zeroes, &alpha; + &beta; = 4 Product of zeroes, &alpha;&beta; = 1 Therefore, if &alpha; and &beta; are zeroes of any quadratic polynomial, then the polynomial can be written as:- x^2&ndash; (&alpha; + &beta;)x + &alpha;&beta; x^2&ndash; 4x + 1 Thus, x^2&ndash; 4x +1 is the quadratic polynomial. Thanks

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Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes, respectively. 4, 1

Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes, respectively.
4, 1

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