Complete question is;
Match the polynomial in the left column with its descriptive feature in the
right column
A.) x³ + 3x² - 2x + 7
B.) 3a³ b ^(6)
C.) 3x⁴ – 9x³ + 5x^(8)
D.) 7a³ b ² + 18ab² c – 9a³
E.) 2x^(5) – 9x³ + 8x^(7)
F.) 4x^(8) – 7x² + 9
G.) x² − 7
I. 9th degree monomial
II. Constant term of −7
III. 7th degree polynomial
IV. Leading coefficient of 4
V. Four terms
VI. 5th degree polynomial
VII. Equivalent to 5x^(8) + 3x⁴ – 9x³
Answer:
A) For polynomial x³ + 3x² - 2x + 7 : Option V - 4 Terms
B) For polynomial 3a³ b ^(6) : option I - 9th degree monomial
C) For the polynomial 3x⁴ – 9x³ + 5x^(8) : Option VII - Equivalent to 5x^(8) + 3x⁴ – 9x³
D) For the polynomial 7a³b² + 18ab²
c – 9a³ : Option VI - 5th degree polynomial.
E) For the polynomial 2x^(5) – 9x³ + 8x^(7) : Option III - 7th degree polynomial.
F) for the polynomial 4x^(8) – 7x² + 9 : Option IV - Leading coefficient of 4
F) For the polynomial x² − 7 : Option II - Constant term of −7
Explanation:
A) Most appropriate matching descriptive feature for the polynomial x³ + 3x² - 2x + 7 is Option V - 4 Terms
B) Most appropriate matching descriptive feature for the polynomial 3a³ b ^(6) is option I - 9th degree monomial. This is because the sum of the powers of a and b is 9.
C) Most appropriate matching descriptive feature for the polynomial 3x⁴ – 9x³ + 5x^(8) is Option VII - Equivalent to 5x^(8) + 3x⁴ – 9x³
D) Most appropriate matching descriptive feature for the polynomial 7a³ b ² + 18ab² c – 9a³ is Option VI - 5th degree polynomial. This is because the highest sum of powers attached to a and b in a figure is 2 + 3 = 5.
E) Most appropriate matching descriptive feature for the polynomial 2x^(5) – 9x³ + 8x^(7) is Option III - 7th degree polynomial. This is because the highest power of x is 7.
F) Most appropriate matching descriptive feature for the polynomial 4x^(8) – 7x² + 9 is Option IV: Leading coefficient of 4. This is because the coefficient attached to the largest power of x is 4.
G) Most appropriate matching descriptive feature for the polynomial
x² − 7 is Option II - Constant term of −7