4. The teacher asked the student to factor the given polynomial 3z²-2z+ 6z-4 by grouping terms. Which of the following is the CORRECT factor?
A. (3z-2) (z +2)
B. (3z + 2)(z-2)
C. (z+ 2) (z +2)
D. (3z + 2) (z +2)
A. (3z-2) (z +2)
B. (3z + 2)(z-2)
C. (z+ 2) (z +2)
D. (3z + 2) (z +2)
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Answer:
answer is letter A
Step-by-step explanation:
1. Combine like terms
3z² - 2z + 6z - 4
= 3z² +4z - 4
2. Use the sum-product pattern
3z² - 2z + 6z - 4
3z² + 6z - 2z - 4
3. Common factor from the two pairs
3z² + 6z - 2z - 4
3z (3+2) -2 (z+2)
4. Rewrite in factored form
3z (3+2) -2 (z+2)
= (3z -2) (z+2)