Question

what is the greatest common factor of the terms in the polynomial (4x^{4}-32x^{3}-60x^{2})?
options: (4x^{3}), (4x), (4), (4x^{2})

Explanation:

Step1: Factor coefficients

Find GCF of 4, 32, 60:
Factors of 4: $1,2,4$
Factors of 32: $1,2,4,8,16,32$
Factors of 60: $1,2,3,4,5,6,10,12,15,20,30,60$
GCF of coefficients is $4$.

Step2: Factor variable terms

Find GCF of $x^4, x^3, x^2$:
Use the lowest exponent of $x$: $x^2$.

Step3: Combine GCFs

Multiply coefficient GCF and variable GCF.
Expression: $4 \times x^2 = 4x^2$

Answer:

$4x^2$