20. Find the factors of $$ z^{2}+5 z+4 $$ a $$ (z+4)(z-1) $$ b $$ (z+2)(z+1) $$ c $$ (z+4)(z+2) $$ d $$ (z+4)(z+1) $$

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The correct answer is a) $$ (z+4)(z-1) $$. To find the factors of the quadratic expression $$ z^{2}+5z+4 $$, we need to factorize it. The factors of a quadratic expression $$ ax^{2}+bx+c $$ are given by the factors of the constant term $$ c $$ and the sum of the factors of the coefficient of $$ x $$ term $$ b $$. Given expression: $$ z^{2}+5z+4 $$ The constant term is 4, and the coefficient of the $$ z $$ term is 5. The factors of 4 are 1 and 4, and the factors of 5 are 1 and 5. Now, we need to find two numbers that multiply to 4 and add up to 5. The numbers are 1 and 4. Therefore, the factors of $$ z^{2}+5z+4 $$ are $$ (z+1)(z+4) $$. So, the correct answer is a) $$ (z+4)(z-1) $$.

20. Find the factors of \( z^{2}+5 z+4 \) a \( (z+4)(z-1) \) b \( (z+2)(z+1) \) c \( (z+4)(z+2) \) d \( (z+4)(z+1) \)

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20. Find the factors of \( z^{2}+5 z+4 \) a \( (z+4)(z-1) \) b \( (z+2)(z+1) \) c \( (z+4)(z+2) \) d \( (z+4)(z+1) \)

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