1. Factor the expression $7 - 3x^2 - 8z^3$. This is a simple polynomial expression with three terms; it cannot be factored easily as a product. So, it remains as is. 2. Factor $p^3 - 3p^2 + 2p - 6$. - Group terms: $(p^3 - 3p^2) + (2p - 6)$. - Factor each group: $p^2(p - 3) + 2(p - 3)$. - Factor out common binomial: $(p - 3)(p^2 + 2)$. 3. Factor $6x^3 y^2 - 9x^2 y^2 + 12x^3 y$. - Find greatest common factor (GCF): $3x^2 y$. - Extract GCF: $3x^2 y(2x y - 3y + 4x)$. 4. Factor $-4x^2 + 12x + 9$. - Factor out $-1$ to get $-(4x^2 - 12x - 9)$. - Find factors of quadratic: $4x^2 - 12x - 9$ factors as $(2x - 3)(2x + 3)$. - So total factorization is $-(2x - 3)(2x + 3)$. Final answers: 1. $7 - 3x^2 - 8z^3$ 2. $(p - 3)(p^2 + 2)$ 3. $3x^2 y (2x y - 3 y + 4x)$ 4. $-(2x - 3)(2x + 3)$