Question Text
Question 1 :
What must be added to $x^3-3x^2-12x + 19$, so that the result is exactly divisible by $x^2 + x-6$?
Question 4 :
Divide the following and write your answer in lowest terms: $\dfrac{x^2-36}{x^2-49}\div \dfrac{x+6}{x+7}$
Question 5 :
Simplify: $\displaystyle \frac { 49\left( { x }^{ 4 }-2{ x }^{ 3 }-15{ x }^{ 2 } \right)  }{ 14x\left( x-5 \right)  } $
Question 6 :
Find the value of p for which the given equation has real roots.<br>$\displaystyle8p{ x }^{ 2 }-9x+3=0$<br>
Question 7 :
The number of integers $n$ for which $3x^3-25x+n=0$ has three real roots is$?$<br/>
Question 8 :
Divide $\displaystyle 10{ a }^{ 2 }{ b }^{ 2 }\left( 5x-25 \right)$ by $15ab\left( x-5 \right) $
