The polynomial 8x2 – 8x + 2 – 5 + x is simplified to 8x2 – gx – h. what are the value of g and h?

Keywords:

polynomial, coefficients, simplify, similar terms

For this case we have to simplify a polynomial, we must find the incognito coefficients of the variable "x" and the independent term. By definition, a polynomial is of the form:

. Where:

a, b, c, d, e, f: They are the coefficients of the polynomial

n, n-1, 3,2,1,0: They are the exponents. And "n" represents the degree of the polynomial, because it is the largest exponent.

x: It is the variable.

So, if we have:

To simplify, we must add similar terms, taking into account that different signs are subtracted and the sign of the major is placed.

If we compare with the given simplified polynomial, we have:

So we have