Solution:
we have been asked to verify that -5, 1/2, and 3/4 are the zeroes of the cubic polynomial 
To verify that whether the given values are zeros or not we will substitute the values in the given Polynomial, if it will returns zero, it mean that value is Zero of the polynomial. But if it return any thing other than zeros it mean that value is not the zero of the polynomial.
Let 



Hence -5, 1/2, and 3/4 are not the zeroes of the given Polynomial.
Since sum of roots
But 
Hence we do not find any relation between the coefficients and zeros.
Anyway if the given values doesn't represents the zeros then those given values will not have any relation with the coefficients of the p[polynomial.
Okay, so let's go over multiplying negative numbers. A positive times a positive is a positive, right? But a negative times a negative is also a positive. Only a negative times a positive (or a positive times a negative) gives you a negative number. So, we know that one of our 2 numbers in this question must be negative; the other must be positive.
Let's now take a look at the factors of -147, starting with the positives. Obviously, -147 and 1 are factors: -147 * 1 = -147. What other factors of -147 are there?
What about 7? Try it: -147 / 7 = -21. So here are two factors: -21, and 7. They multiply to -147. Do they add up to -14? Let's see: -21+7 = 7+(-21) = 7-21= -14. Yup, that works!
Answer: -21 and 7
X= - 7/2
Hope this helps! :)
Answer:
The correct option is 1.
Step-by-step explanation:
The difference of cubes is defined as

The given expression is

It can be written as

Using the property of exponent, the above expression can be written as
![[\because (x^m)^n=x^{mn}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%28x%5Em%29%5En%3Dx%5E%7Bmn%7D%5D)
This is a difference of cubes.
Therefore the correct option is 1.