Subtracting polynomials

The other polynomial is 11x^2 -3x

Step-by-step explanation:

12x^2 -5x  - ( x^2 -2x) = other polynomial

Distribute the minus sign

12x^2 -5x  -  x^2 +2x

Combine terms

11x^2 -3x

The other polynomial is 11x^2 -3x

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.