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# Higher Degree Polynomials and GCF (Grade 10)

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## Higher Degree Polynomials and GCF

1.
Find the greatest common factor.

$4m^3n^4p^6-6m^2n^6p^4$
1. $2mn^2p^2$
2. $12m^2n^4p^4$
3. $2mnp$
4. $2m^2n^4p^4$
2.
What is the greatest common factor of the expression?
$24x^5+36x^3-18x^2$
1. $2x^5$
2. $18x^2$
3. $3x$
4. $6x^2$
3.
Find the greatest common factor.
$9a^4b^7+12a^2b^5$
1. $3ab$
2. $3a^2b^5$
3. $6a^2b^5$
4. $3a^5b^2$
4.
Use the GCF of the terms to factor the polynomial.

Given: $23x^4 + 46x^3$
1. $x^3(23x+46)$
2. $23x^3(x+2)$
3. $23x^4(x+2)$
4. $23x(x^3+2x^2)$
5.
Factor.

$18x^4+36x^3$
1. $18x$
2. $36$
3. $18x^3 (x+2)$
4. No common factor
6.
Factor completely. $36a^4b^3 - 20a^3b^4$
1. $4a^3b^3(9ab - 5b)$
2. $4a^3b^3(9a - 5b)$
3. $4a^3b^3(9a - 16b)$
4. $4a^3(9ab^3 - 5b^4)$
7.
Factor the expression. $13x^3y^2 - 4x^2y^3$
1. $x^3y^2(13x - 4y)$
2. $x^2y^2(13x - 4y)$
3. $x^2y^3(13x - 4y)$
4. $9x^3y^2$
8.
Factor using the greatest common factor. $16x^8-32x^7+12x^2$
1. $12x^2(4x^6-8x^5+1)$
2. $4x^2(4x^6-8x^5+3)$
3. $4x(4x^8-8x^7+3x^2)$
4. $x^2(16x^6-32x^5+12)$
9.
Factor: $25x^2y^4 + 40x^3 y^2$
1. $5x^2y^2(5y^2 + 8x)$
2. $5x^3y^4(5xy + 8y)$
3. $8x^2y^2(3x^2y - 3y^2)$
4. $4x^2y^2(6y^2 + 10x^3)$
10.
Factor: $15x^6 - 6x^3 + 9x^2$
1. $5x^4 (3x^2 -2x + 6)$
2. $3x^2 (5x^4 -2x + 3)$
3. $3x^4 (5x^2 - 2x +3)$
4. $2x^4 (7x^2 - 3x + 2)$
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