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1) What is the GCF for the polynomial 4x3 - 2x2y?

2) What is the GCF for the polynomial 8x4y + 6x2y2?

3) What is the GCF for the polynomial 12x3y2 - 20x5y3?

4) What is the GCF for the polynomial -10x3y4 - 16x5y2?

User Jolin
by
8.4k points

2 Answers

5 votes

Answer:

1. 2x2

2. 2x2y

3. 4x3y2

4. -2x3y2

Explanation:

1. 4x3 - 2x2y= GCF: 2x2

2. 8x4y + 6x2y2= GCF: 2x2y

3. 12x3y2 - 20x5y3= GCF: 4x3y2

4. -10x3y4 - 16x5y2= GCF: -2x3y2

User Fernando Rojo
by
8.2k points
1 vote

(1)the GCF for the polynomial
4x^3 - 2x^2y

4x^3 = 2*2* x* x* x

2x^2y = 2*x*x*y

Greatest common factor is
2*x*x = 2x^2

(2) the GCF for the polynomial
8x^4y + 6x^2y^2


8x^4y = 2*2*2*x*x*x*x*y


6x^2y^2 = 3*2*x*x*y*y

GCF is
2*x*x*y=2x^2y

(3) the GCF for the polynomial
12x^3y^2 - 20x^5y^3


12x^3y^2 = 2*2*3*x*x*x*y*y


20x^5y^3=5*2*2*x*x*x*x*x*y*y*y

GCF is
2*2*x*x*x*y*y= 4x^3y^2

(4) the GCF for the polynomial
-10x^3y^4 - 16x^5y^2


-10x^3y^4 =-2*5*x*x*x*y*y*y*y


-16x^5y^2=-2*2*2*2*x*x*x*x*x*y*y

GCF is
-2*x*x*x*y*y= -2x^3y^2



User Shirkam
by
8.3k points

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