Question

Match the polynomial in the left column with its descriptive feature in the

right column.

A. x3 + 3x2 - 2x + 7

B. 3a b6

C. 3x4 - 9x3 + 5x8

D. 7a3b2 + 18ab2c – 9a3

E. 2x5 – 9x3 + 8x?

F. 4x8 – 7x2 + 9

G. x2 – 7

1. 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 5x8 + 3x4 – 9x3

Answer 1

(See explanation for further details)

Explanation:

A.
`x^(3) + 3\cdot x^(2) - 2\cdot x + 7` : V. Four terms.

B.
`3\cdot a \cdot b^(6)` : I . 9th Degree Monomial (Instead, 7th Degree Monomial)

C.
`3\cdot x^(4) - 9 \cdot x^(3) + 5\cdot x^(8)` : VII - Equivalent to
`5\cdot x^(8) + 3\cdot x^(4) - 9 \cdot x^(3)`

D.
`7\cdot a^(3)\cdot b^(2) + 18\cdot a \cdot b^(2)\cdot c - 9\cdot a^(3)` : III - 7th degree polynomial.

E.
`2\cdot x^(5) - 9\cdot x^(3) + 8\cdot x` : VI - 5th degree polynomial.

F.
`4\cdot x^(8) - 7\cdot x^(2) + 9` : IV - Leading coefficient of 4.

G.
`x^(2) - 7` : II - Constant term of -7.