ACT 1 Alg: Factor trinomials

$Q_{1}:$ The factor of $x^{2} + 12x + 36 $ is

$Q_{2}:$ The factor of $x^{2} + 12x +20 $ is

$Q_{3}:$ The factor of $2x^{2} + 6x - 36 $ is

$Q_{4}:$ Factor $x^{2}=-10x-25$

$Q_{5}:$ If $x^{2}-x-a=(x-4)(x+3)$, then $a=$

$Q_{6}:$ Which of the following equation is a perfect square?

$Q_{7}:$ If the factor of equation $f(x)$ is $(x-5)(x+3)$, then $f(x)=$

$Q_{8}:$ Which of the following equation is NOT a perfect square?

$Q_{9}:$ If $a, b,$ and $c$ are rational numbers with $a\neq 0$, if $f(x)=ax ^{2}+ bx + c = 0$, and if $b^{ 2} – 4ac=0$, then $f(x)$ have

$Q_{10}:$ If $ax ^{2} + bx + c = 0$, then the sum of the two roots is

$Q_{11}:$ If $ax ^{2} + bx + c = 0$, then the product of the two roots is

$Q_{12}:$ Find a quadratic equation for which the sum of the roots is $5$ and the product of the roots is $5$.

$Q_{13}:$ . If $x ^{2} + 5x + c $ have the same factor, then $c=$

$Q_{14}:$ If $x ^{2} + bx + c =(x+2)(x+4)$, then $b, c=$

$Q_{15}:$ The factor of $x^{2}-8x-20$ is

$Q_{16}:$ The factor of $x^{2}-19x+48$ is

$Q_{17}:$ The factor of $25x^{2}-15x-4$ is

$Q_{18}:$ The factor of $-x^{2}-9x+36$ is

$Q_{19}:$ Given $f(x)=-(x+2)(x-4)$, then $f(x)$ can be written as

$Q_{20}:$ Which of the following is perfect-square trinomial?

$Q_{21}:$ The factor of $-16x^{2}-40x+24$ is

$Q_{22}:$ Which of the following is equivalent to the expression $x^{2}-2x-24$ ?

$Q_{23}:$ Which of the following is equivalent to the expression $3x^{2}+7x-6$ ?

$Q_{24}:$ Which of the following is equivalent to the expression $-6x^{2}+x+2$ ?

$Q_{25}:$ Which of the following is equivalent to the expression $a^{2}+2ab+b^{2}$ ?

$Q_{26}:$ If $s>0$ and $4x^{2}-rx+9=(2x-s)^{2}$ for all values of $x$, what is the value of $s$?

$Q_{27}:$ If $x^{2}-\frac{3}{2}x+c=(x-r)^{2}$, what is the value of $c$?