Question

Factor completely, then place the answer in the proper location on the grid. Write the answer in descending powers of x. 6x 4 + 15x 3 y 2 + 3x 2 y 3

Answer 1

$6 {x}^{4} + 15 {x}^{3} {y}^{2} + 3 {x}^{2} {y}^{3} \\ = {x}^{2} (6 {x}^{2} + 15x {y}^{2} + 3 {y}^{3} ) \\ = {x}^{2} (6 {x}^{2} + {y}^{2} (15x + 3y))$

Answer 2

Answer:

$3x^2(y^3+5xy^2+2x^2)$

Step-by-step explanation:

$6{x}^{4}+15 {x}^{3}{y}^{2}+3 {x}^{2}{y}^{3}$

LEts factor each term

$6x^4= 2*3*x*x*x*x$

$15x^3y^2= 5*3*x*x*x*y*y$

$3x^2y^3= 3*x*x*y*y*y$

GCF is 3x^2

LEts factor out 3x^2

$3x^2(2x^2+5xy^2+y^3)$

The expression is in descending powers of x

$3x^2(y^3+5xy^2+2x^2)$