Final answer:
To factor the terms in the polynomial 36x⁵+48x³+24x², you can factor out the greatest common factor (GCF) of the coefficients and the variable terms. The GCF of the coefficients is 12, and the GCF of the variable terms is x². The factored form of the polynomial is 12x²(3x³+4x+2).
Step-by-step explanation:
To factor the terms in the polynomial 36x⁵+48x³+24x², we look for the greatest common factor (GCF) of the terms. The GCF of the coefficients 36, 48, and 24 is 12. The GCF of the variable terms x⁵, x³, and x² is x². Therefore, we can factor out the GCF to get: 12x²(3x³+4x+2).