What is the greatest common factor of the terms in the polynomial 8x4 - 4x3 - 18x2

2x^2

Step-by-step explanation:

The coefficients of the terms in this expression are 8, 4, and 18.

The largest number that you can divide all of them with and get a whole number is 2.

So, 2 is part of our greatest common factor.

These terms also have the variable x. The exponent of the smallest x term is 2, so x^2 is the other part of our greatest common factor.

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15