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
