Write an equation in which the quadratic expression x^2+x-30 equals 0.
write the trinomial in factored form
solve for x and explain what your answers mean.

The trinomial in factored form is:

The solutions are;

The graph intersects the x-axis at

Step-by-step explanation:

The required equation is;

We split the middle term to get;

We factor by grouping;

The trinomial in factored form is:

Use the zero product principle;

These are the x-intercepts of the graph of the corresponding quadratic function.

Or the zeros/roots/solutions of the equation.

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct