Algebra 1 Fundamentals: Adding and Subtracting Polynomials

Order the terms p2, p4, p3, and p in descending powers of p .

p4, p3, p2, and p

Reduce -8 + b2 by 5 + b2.

-13

In your notebook, set up the following subtraction in a vertical format and select the correct answer. Take -4 + 3a2 from 7a - a2.

-4 a2 + 7 a + 4

After arranging the terms in descending powers of a variable, select the opposite of the polynomial. 9 - 12n2 + 4n3 - 7n

-4 n3 + 12 n2 + 7 n - 9

Find x - y subtracted from 0.

-x + y

Order the polynomial -x4y2 + 7x3y3 - 3xy5 + 2x2y4 in descending powers of x.

-x4y2, +7x3y3, +2x2y4, and -3xy5

7b + 3, -4b + 5, and -3b + 2

10

3x2 + 2x - 5 and -4 + 7x2

10 x2 + 2 x - 9

like terms

terms that have the same variable(s), with each variable raised to the same exponent

trinomial

three term polynomial

a2 + b - cd3

trinomial

In your notebook, set up the following subtraction in a vertical format and select the correct answer. Reduce 7y + 2y2 - 7 by 3 - 4y.

2 y2 + 11 y - 10

In your notebook, set up the following subtraction in a vertical format and select the correct answer. Find 2p2 + 3p - 4 less - 2p2 - 3p + 4.

4 p2 + 6 p - 8

2mn + 4n2 and 5m2 - 7mn

5 m2 - 5 mn + 4 n2

Find a - 2b + 3c diminished by a - 2b - 3c + d.

6c - d

binomial

A two-term polynomial.

term

a number or a variable, or an indicated product of a number and variable(s)

polynomial

a term or a sum of terms whose variables have whole number exponents

a2 + bcd3

binomial

a2 - b + c - d3

four-term polynomial

monomial

one term polynomial