# NEED HELP! Factor completely: 21×3 + 35×2 + 9x + 15?

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Question 1 (Multiple Choice Worth 2 points)

Factor completely: 21×3 + 35×2 + 9x + 15

(3x − 5)(7×2 − 3)

(3x − 5)(7×2 + 3)

(3x + 5)(7×2 − 3)

prime

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Question 2 (Multiple Choice Worth 2 points)

Factor completely: 10xy + 3y + 20ax + 6a

(10x − 3)(y − 2a)

(10x − 3)(y + 2a)

(10x + 3)(y + 2a)

(10x + 3)(y − 2a)

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Question 3 (Multiple Choice Worth 1 points)

Factor completely: 5ab + 3ay + 5b + 3y

(5b + 3y)(a + 1)

(5b − 3y)(a + 1)

(5b + 3y)(a − 1)

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Prime

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Question 4 (Multiple Choice Worth 1 points)

Factor completely: 5x(x + 3) + 6(x + 3)

(x + 3)(30x)

(x + 3)(5x + 6)

(x + 3)(11x)

Prime

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Question 5 (Multiple Choice Worth 1 points)

Factor completely: 3ab − 5ax + 9b − 15x

(3b + 5x)(a + 3)

(3b − 5x)(a + 3)

(3b − 5x)(a − 3)

Prime

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Question 6 (Multiple Choice Worth 2 points)

Factor completely: 14bx2 − 7×3 − 4b + 2x

(2b + x)(7×2 + 2)

(2b − x)(7×2 − 2)

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(2b + x)(7×2 − 2)

Prime

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Question 7 (Multiple Choice Worth 1 points)

Factor completely: 9xy + 36x − 10y − 40

Prime

(y − 4)(9x − 10)

(y + 4)(9x + 10)

(y + 4)(9x − 10)

• Seriously….is this like your entire assignment????

• 1.

(3x − 5)(7x^2 − 3) = (3x)(7x^2) + (3x)(-3) + (-5)(7x^2) + (-5)(-3)

= 21x^3 – 9x – 35x^2 +15

= 21x^3 – 35x^2 – 9x + 15.

Not equal.

(3x − 5)(7×2 + 3) = 21x^3 + 9x – 35x^2 …

Not equal.

(3x + 5)(7×2 − 3) = 21x^3 – 9x …

Not equal.

By process of elimination, “prime” is the answer.

Source(s): Me!
• Just expand all the answers and find out which one matches the question. Tah-Dah.

• 2cb + 7cx + 2b + 7x = (2cb + 7cx) + (2b + 7x) = c (2b + 7x) + a million (2b + 7x) = (2b + 7x) (c + a million) 14bx^2 ? 7x^3 ? 4b + 2x = 7x^2 (2b ? x) ? 2 (2b ? 2x) = (2b ? x) (7x^2 ? 2) resolve the different 2 making use of comparable technique