Which graph represents the polynomial function g(x) = x3 + 5x2 – 12x - 36?

D

Step-by-step explanation:

-36 means that the y intercept is -36. As a result, you can eliminate A and C. You also have to figure out what x values would make y zero.

0=x^3+5x^2-12x-36.

Since 2 and 3 are 0 in B and D in that order, I tested both x=2 and x=3. x=3 produced y=0, while 2=x did not. As a result, D is the answer.

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1