Question Text
Question 1 :
Find the value of 'a' if (x-2) is factor of $2x^3-6x^2+5x+a$.
Question 2 :
A positive number $n$ when divided by $8$ leaves a remainder $5$. What is the remainder when $2n + 4$ is divided by 8?
Question 3 :
The value of $k$ for which $x - k$ is a factor of $x^{3} - kx^{2} + 2x + k + 4$ is<br/>
Question 4 :
By Remainder Theorem find the remainder, when $ p(x)$ is divided by $g(x)$, where$p(x) = 4x^3 -12x^2 + 14x -3, g(x) = 2x -1$
Question 7 :
Find the Quotient and the Remainder when the first polynomial is divided by the second.$-6x^4 + 5x^2 + 111$ by $2x^2+1$
Question 8 :
State whether the statement is True or False.Evaluate: $(2a+3)(2a-3)(4a^2+9)$ is equal to $16a^4-81$.<br/>
Question 9 :
The sum of two numbers is 9 and their product is 20. Find the sum of their cubes<br/>
Question 10 :
If $x-3$ is a factor of $x^3+3x^2+3x+p$, then find the value of $p$.