Factor. 10g^3 - 5g^2 + 18g - 9 ______

Factorize cubic polynomial: Write the factored form of 10g^3 - 5g^2. Factor out 5g^2 from 10g^3 and 5g^2. 10g^3 - 5g^2 = 5g^2(2g - 1)Factorize linear polynomial: Write the factored form of 18g - 9. Factor out 9 from 18g and 9. 18g - 9 = 9(2g - 1)Combine factorized polynomials: We found: 10g^3 - 5g^2 = 5g^2(2g - 1) 18g - 9 = 9(2g - 1) Write the factored form of 10g^3 - 5g^2 + 18g - 9. Factor out (2g - 1) from 5g^2(2g - 1) and 9(2g - 1). So, the factored form of 10g^3 - 5g^2 + 18g - 9 is: (5g^2 + 9)(2g - 1)

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Factor. $\newline$ $10g^3 - 5g^2 + 18g - 9$

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Q. Factor.

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10g^3 - 5g^2 + 18g - 9

Factorize cubic polynomial: Write the factored form of $10g^3 - 5g^2$ . Factor out $5g^2$ from $10g^3$ and $5g^2$ . $10g^3 - 5g^2 = 5g^2(2g - 1)$
Factorize linear polynomial: Write the factored form of $18g - 9$ . $\newline$ Factor out $9$ from $18g$ and $9$ . $\newline$ $18g - 9 = 9(2g - 1)$
Combine factorized polynomials: We found: $\newline$ $10g^3 - 5g^2 = 5g^2(2g - 1)$ $\newline$ $18g - 9 = 9(2g - 1)$ $\newline$ Write the factored form of $10g^3 - 5g^2 + 18g - 9$ . $\newline$ Factor out $(2g - 1)$ from $5g^2(2g - 1)$ and $9(2g - 1)$ . $\newline$ So, the factored form of $10g^3 - 5g^2 + 18g - 9$ is: $(5g^2 + 9)(2g - 1)$