Quadratics - Factoring Practice Problems Online

Consider the quadratic equation $7 x^2 = 49 x$ . What is the sum of all the roots of this equation?

If the following statement is true, what is the value of $a$ : $x^2+5x-14=(x+a)(x-2)?$

What are the roots of the quadratic equation $2(x+2)^2-33=13x+8 ?$

x=3 \text{ or } x=5

x=-2 \text{ or } x=-\frac{1}{3}

x=-\frac{11}{2} \text{ or } x=3

x=-3 \text{ or } x=\frac{11}{2}

What are the roots of the quadratic equation $ix^2+(7-4i)x-12-12i=0 ?$

Details and assumptions

$i$ is the imaginary number that satisfies $i^2 = -1$ .

x={3}i \text{ or } x={4}-{4}i

x={3}i \text{ or } x={4}+{4}i

x=-{3}i \text{ or } x={4}-{4}i

x=-{3}i \text{ or } x={4}+{4}i

If $x^2-8x+15=(x+a)(x+b),$ what is the value of $ab$ ?

Quadratics - Factoring