Question

If p and q are zeros of the polynomial FX equal to 2 x squared minus 7 x + 3 find the value of p square + Q square

Answer 1

$f(x) = 2x {}^{2} - 7x + 3$
$2x {}^{2} - 6x - x + 3$
$2x(x - 3) - 1(x - 3)$
$(2x - 1)(x - 3)$
$x = 1 \div 2 \: \: \: and \: \: x = 3$

Now we have to find
$p {}^{2} + q {}^{2}$

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

Hence, 1 / 4 + 9

= (1 + 36) / 9

= 37 / 9



THANKS