Answer:
Part A: x⁴ + x³ + x²
Part B: (4·x + 2) + (-5·x + 6) = -x + 8
Step-by-step explanation:
Part A:
We note that standard form means that the terms of the polynomial are arranged in order starting from the the largest exponential of the polynomial to the smallest exponent
Therefore, we have
x⁴ + x³ + x² is a fourth-degree polynomial with three terms in standard form
It is known that the above polynomial is in standard form based on its ordered arrangement from the largest exponential to the smallest exponential
Part B:
Polynomial are closed under addition, that is when two polynomials are added only the coefficients change as the exponents and variables remain unchanged as follows;
(4·x + 2) + (-5·x + 6)
= 4·x + 2 - 5·x + 6
= 4·x - 5·x + 2 + 6
= -x + 8 which is a polynomial with the same variable and exponent.
