Question

if alpha and beta are the zeros of the quadratic polynomial f of x is equal to x square - 4 x + 3 find the value of Alpha square beta + alpha beta square

Answer 1

x square -4x+3

letx=1

then1square -4x+3

=1-4+3

=0. then alpha =1

then alpha +beta=-b/a

=1+beta =4/1

=(1+beta)×1=4

=1+beta=4

=beta =4-1=3

therefore =alpha square beta +alpha beta square

$1^{2} \times 3 + (1 \times 3) {}^{2}$

=1×3+3 square

=3+9

=12

i hope you understand

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