According to the fundamental theorem of algebra, how many roots exist for the polynomial function?
f(x) = 4x5 – 3x
1 root
2 roots
4 roots
5 roots

Option 4 is correct that is according to fundamental theroem of algebra the given polynomial function will have 5 roots

Step-by-step explanation:

The fundamental theorem of algebra says that the polynomial will have  the number of roots  equal to the degree of the polynomial.

Degree is the highest power of polynomial.

Here we have given the polynomial where degree is 5.

Hence, the given polynomial will have 5 roots.

Therefore, option 4 is correct that is 5 roots

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.