Welcome to your ACT 1 Alg: Recognize and factor difference of squares

$Q_{1}:$ Which of the following is a factor of $3x^{2} +7x − 6$?

$Q_{2}:$Which of the following is a factor of $x^{2} − 2x-24$?

$Q_{3}:$ Which of the following functions has the same factor as $f (x) = 3x^ {2} − 3x − 27$?

$Q_{4}:$For fixed real values of a, b, and c, a solution to the equation $ax^{2}+bx+c=0$ is $-\frac{5}{2}$ For the same values of a, b, and c, which of the following is a factor of the expression $ax^{2} + bx + c$?

$Q_{5}:$ Which of the following is perfect square binomial?

$Q_{6}:$If $x^{2} = 8x − 15$, then which of the following is a possible factor?

$Q_{7}:$If a, b, and c are nonzero real numbers, what is the least number of times a function $f (x) = ax^{2} + bx + c$ may cross the x-axis?

$Q_{8}:$ Factor of $x^{2}+4$ is

$Q_{9}:$ Which of the following equation can be written as $-8(x+3)(2x-1)$?

$Q_{10}:$Which of the following is equivalent to the expression $-6x^{2}+x+2$?

$Q_{11}:$If $x+y=10$ and $x-y=4$, what is the value of $x^{2}-y^{2}$ ?

$Q_{12}:$ Which of the following the factor of $6x^{2}+7x-24$ ?

$Q_{13}:$ Which of the following is NOT perfect square trinomial ?

$Q_{14}:$ If $x^{2}+5x+c=(x+2)(x+3)$ , what is the value of $c$?

$Q_{15}:$ Which of the following is a factor of $2x^(2) − 2x − 24$?

$Q_{16}:$Which of the following expressions can be factored as a difference of squares?

$Q_{17}:$If a, b, and c are nonzero real numbers, what is the maximum number of times a function $f (x) = ax^{2} + bx + c$ may cross the x-axis?

$Q_{18}:$ If $x=\{ -1,4 \}$, then its factor to

$Q_{19}:$ Which of the following is equivalent to the expression $x^{2}+2xy+y^{2}$?

$Q_{20}:$ Factor of $x^{2}-2x$ is

$Q_{21}:$ Factor $x^{2}+x+\frac{1}{4}$

$Q_{22}:$ If the area of rectangle given as $x^{2}-2x-440$, then the length and widgth of a rectangle are ?

$Q_{23}:$ Which of the following is equivalent to the expression $x^{2}-17x+72$?

$Q_{24}:$ Which of the following is equivalent to the expression $-x^{2}+5x+84$?

$Q_{25}:$ If the length of each side of a square is $(5x-4)$, then the area of square is