k) \( 2 x-y=8 \)

12. Find the values of \( p \) and \( q \) if both \( (x-1) \) and \( (x+2) \) are factors of the cubic \( x^{3}+p x^{3}+q x+4 \).

Solve the following inequality. Write the solution set in interval notation and graph it. \( 2 x>-12 \) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is (Type your answer in interval notation. Simplify your answer. Use integers or fractions for any numbers in the expression.) B. The solution set is \( \varnothing \).

h \( (5 x-3)(x+2 \sqrt{2}) \)

यदि \( a, b, c, d \) क्रमिक समानुपाती होने से प्रमाणित करें कि \( \left(a^{2}+b^{2}+c^{2}\right)\left(b^{2}+c^{2}+d^{2}\right)=(a b+b c+c d)^{2} \) Ans. \( d^{2} k^{2}\left(k^{+}+k^{2}+1\right)^{2} \) L.H.S. - R.H.S. Proved. यदि \( a, b, c, d \) क्रमिक समानुपाती होने से प्रमाणित करें कि \( (b-c)^{2}+(c-a)^{2}+(b-d)^{2}-(a-d)^{2} \)

12. Find the values of \( p \) and \( q \) if both \( (x-1) \) and \( (x+2) \) are factors of the cubic \( x^{3}+p x^{3}+q x+4 \)