Question

factoring polynomials using the gcf
find the gcf of...

1. find the gcf of 14 and 12.
2. find the gcf of ( j^8 ) and ( j^6 ).
3. find the gcf of ( k^4 ) and ( k^6 ).

(options for each question are partially visible)

Explanation:

Step1: Factor coefficients

Prime factors: $44=2^2 \times 11$, $132=2^2 \times 3 \times 11$
GCF of 44 and 132: $2^2 \times 11 = 44$

Step2: GCF of $y^3, y^8$

For variables, use lowest exponent: $\text{GCF}(y^3, y^8)=y^3$

Step3: GCF of $k^4, k^5$

Use lowest exponent: $\text{GCF}(k^4, k^5)=k^4$

Step4: Combine all GCFs

Multiply coefficient and variable GCFs: $44 \times y^3 \times k^4$

Answer:

$44y^3k^4$ (matches the option: $\boldsymbol{44y^3k^4}$)