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This printable supports Common Core Mathematics Standard HSA-APR.A.1

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Subtracting Polynomials

1.
Subtract and write the resulting polynomial in descending order of degree.

$(10y+13)-(-6y+9)$
1. $16y+22$
2. $20y$
3. $-16y-4$
4. $16y+4$
2.
When $2a^2-4$ is subtracted from $a^2+3$ the result is which of the following?
1. $-a^2-7$
2. $a^2-7$
3. $-a^2+7$
4. $a^2+7$
3.
Subtract: $(4x^2 - 2x + 8) - ( x^2 + 3x - 2)$
1. $3x^2 + x + 6$
2. $3x^2 + x + 10$
3. $3x^2 - 5x + 6$
4. $3x^2 - 5x + 10$
4.
Subtract the polynomials.
$(-3z^2 + 9z -4) - (4z^2 -5 + z)$
1. $-7z^2 + 8z +1$
2. $-z^2 + 8z - 9$
3. $z^2 + 10z -9$
4. $7z^2 +4z -3$
5.
What is the difference $(x^4 - 3x^2 + 4x + 7) - (x^4 - 6x^3 + 4x)?$
1. $3x^3 + 7$
2. $6x^3 - 3x^2 + 7$
3. $6x^3 - 3x^2 + 8x + 7$
4. $3x^3 + 8x + 7$
6.
Subtract.
$(2m^5 + 3m^2 -7) - (4m^4 - 2m^3 + 5m)$
1. $2m^5 -4m^4 + 2m^3 +3m^2 -5m -7$
2. $-2m^5 + 5m^2 -7 - 5m$
3. $2m^5 + m^2 +5m - 7$
4. $2m^5 -4m^4 +m^2 +5m -7$
7.
Subtract.
$(5x^2 - 5xy -y^2 + 9x + 2y - 7) - (3x^2 - 4x + xy - 2y + 4)$
1. $2x^2 - 6xy -y^2 + 13x +4y - 11$
2. $8x^2 -4xy - y^2 + 5x - 3$
3. $2x^2 - 6xy + 5x -11$
4. $2x^2 - xy - 2y^2 + 9x + 4y -11$
8.
Subtract the two polynomials.
$(4a^2 - 3c^2 - a + 7b -13) - (3a^2 +5b^2 + 2b - 3c +3)$
1. $a^2 + 5b^2 - 3c^2 -a +5b -3c -10$
2. $a^2 - 8c^2 -3a + 10b -16$
3. $a^2 - 5b^2 - 3c^2 - a + 5b + 3c - 16$
4. $a^2 +5b-16$
9.
Subtract.
$(3a^3 -5a^2 +11) - (6a^3 - a - 2)$
1. $3a^3 - 5a^2 - a +9$
2. $-3a^3 - 4a^2 + 13$
3. $9a^3 - 5a^2 - a + 9$
4. $-3a^3 - 5a^2 + a + 13$
10.
Subtract the polynomials.
$(6x^3 - 4x^2y + 9xy^2 - 2y^3) - (xy^2 - 3x^2y + 4x^3 - 7y^3)$
1. $5x^3 - x^2y + 5xy^2 + 5y^3$
2. $2x^3 - x^2y + 8xy^2 +5y^3$
3. $2x^3 - 7x^2y + 8xy^2 - 9y^3$
4. $5x^3 -5x^2y + 12xy^2 - 9y^3$
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