Question

1. Quadratic polynomials, whose zeroes are - 4 and 3 are given by
Quadratic polynomials with rational coefficients having 13 as a zero are given
by​

Answer 1

Given

Alpha=-4

Beta=3

Sum of zeroes(alpha+beta)=-4+3=-1

Product of zeroes(alpha+beta)=-4×3=-12

Quadratic polynomial

K{x^2-(alpha+beta)x+(alpha+beta)}

K{x^2-(-1)x+(-12)}

K{x^2+x-12}

K=1

1{x^2+x-12}

Quadratic polynomial

X^2+x-12

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