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Using factorization, the expression x² + 15x + 36 = ?
- a)(x + 3)(x + 4)
- b)(x + 3)(x - 4)
- c)(x + 3) (x + 12)
- d)(x + 3)(x - 12)
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
Using factorization, the expression x + 15x + 36 = ?a)(x + 3)(x + 4)b)...
Factorization of the expression:
To factorize the expression x^2 + 15x + 36, we need to find two numbers that multiply to give 36 and add up to give 15.
Step 1: Find the factors of 36
The factors of 36 are:
1, 2, 3, 4, 6, 9, 12, 18, 36
Step 2: Find two numbers that add up to 15
The numbers that add up to 15 are:
3 + 12 = 15
Step 3: Rewrite the expression using the two numbers
x^2 + 3x + 12x + 36
Step 4: Group the terms
(x^2 + 3x) + (12x + 36)
Step 5: Factor out the common factors from each group
x(x + 3) + 12(x + 3)
Step 6: Factor out the common factor (x + 3)
(x + 3)(x + 12)
Final Answer:
The expression x^2 + 15x + 36 can be factorized as (x + 3)(x + 12), which corresponds to option C.
To factorize the expression x^2 + 15x + 36, we need to find two numbers that multiply to give 36 and add up to give 15.
Step 1: Find the factors of 36
The factors of 36 are:
1, 2, 3, 4, 6, 9, 12, 18, 36
Step 2: Find two numbers that add up to 15
The numbers that add up to 15 are:
3 + 12 = 15
Step 3: Rewrite the expression using the two numbers
x^2 + 3x + 12x + 36
Step 4: Group the terms
(x^2 + 3x) + (12x + 36)
Step 5: Factor out the common factors from each group
x(x + 3) + 12(x + 3)
Step 6: Factor out the common factor (x + 3)
(x + 3)(x + 12)
Final Answer:
The expression x^2 + 15x + 36 can be factorized as (x + 3)(x + 12), which corresponds to option C.
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Community Answer
Using factorization, the expression x + 15x + 36 = ?a)(x + 3)(x + 4)b)...
X*x+12*x+3*x+36=x(x+12)+3(x+12)=(x+3)(x+12)
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Using factorization, the expression x + 15x + 36 = ?a)(x + 3)(x + 4)b)(x + 3)(x - 4)c)(x + 3) (x + 12)d)(x + 3)(x - 12)Correct answer is option 'C'. Can you explain this answer?
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