arpitha factors out the greatest common factor, 9n, from the terms of the polynomial shown. 162m³n⁴ + 45n =…

arpitha factors out the greatest common factor, 9n, from the terms of the polynomial shown. 162m³n⁴ + 45n = 9n(______ + 5)\nwhat is the missing term in the factored expression?\n16m³n³\n16m³n⁴\n18m³n³\n18m³n⁴

arpitha factors out the greatest common factor, 9n, from the terms of the polynomial shown. 162m³n⁴ + 45n = 9n(______ + 5)\nwhat is the missing term in the factored expression?\n16m³n³\n16m³n⁴\n18m³n³\n18m³n⁴

Answer

Explanation:

Step1: Divide first term by 9n

$\frac{162m^{3}n^{4}}{9n}$

Step2: Simplify the fraction

$\frac{162}{9}m^{3}n^{4 - 1}=18m^{3}n^{3}$

Answer:

C. $18m^{3}n^{3}$