Question Text
Question 3 :
<span>State whether True or False.</span><div>Factorization of $3x^2 y + 11xy + 6y$ is $y(x + 3) (3x + 2)$.<br/></div>
Question 4 :
If $a+b = 12, ab = 17$, then the value of $(4+a)(4+b)$ is
Question 6 :
If $\cfrac{{\rm{1}}}{{{{\rm{x}}^{\rm{2}}}{\rm{ - 25}}}}{\rm{ = }}\cfrac{{\rm{1}}}{{\rm{k}}}\left[ {\cfrac{{\rm{1}}}{{{\rm{x - 5}}}}{\rm{ - }}\cfrac{{\rm{1}}}{{{\rm{x + 5}}}}} \right]\,\,{\rm{then}}\,{\rm{k = }}$
Question 7 :
The product of $(2x^2 -3x + 1)$ and (x -3) is.equal to
Question 8 :
Give possible values for length and breadth of the rectangle whose area is $2x^{2} + 9x - 5$
Question 9 :
Give possible expression for the length and breadth of the rectangle whose area is : $4a^{2} + 4a - 3$
Question 10 :
<span>State whether True or False.</span><div>Factorization of $5b^2 + 45b + 90$ is $5(b + 6)(b + 3)$</div>
Question 13 :
If $P={ 5 }^{ 33 }+{ 5 }^{ 33 }+{ 5 }^{ 33 }+{ 5 }^{ 33 }+{ 5 }^{ 33 }$ and $Q={ 3 }^{ 33 }+{ 3 }^{ 33 }+{ 3 }^{ 33 }$ and $PQ={ 15 }^{ x }$, then x equal to
Question 17 :
State whether True or False.<div>Factorization of $(3x - 2y)^2 - 5(3x - 2y) - 24$ is $(3x - 2y - 8) (3x -2y + 3)$.<br/></div>
Question 19 :
<span>Factorise: </span>$x^{2} + \displaystyle \frac{1}{4x^{2}} + 1 - 7x - \frac{7}{2x}$
Question 23 :
Which of the following are factors of $\displaystyle 3{ x }^{ 2 }+11x-4$?
Question 24 :
If $(x + 2)(x + 4)(x + 6)(x + 8) = 945$ and $x$ is an integer, then find $x$.
Question 25 :
If both $x + 1$ and $x - 1$ are factors of $ax^{3} + x^{2} - 2x + b$, find the values of $a$ and $b$