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What do we get after factorising x2 + 6x - 27?
- a)(x + 9)(x - 3)
- b)(x - 9)(x + 3)
- c)(x - 9)(x - 3)
- d)(x + 9)(x + 3)
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
What do we get after factorising x2+ 6x - 27?a)(x + 9)(x - 3)b)(x - 9)...
To factorise x2 + 6x - 27, we have to find two numbers ‘a’ and ‘b’ such that a + b = 6 and a * b = 27.
For that we have to find factors of -27, which are ±1, ±3, ±9.
Now we have to arrange two numbers from these numbers such that a + b = 6 and a * b = 27.
By considering this, we get two numbers +9 and -3
9 + (-3) = 6 and 9*-3 = -27
Now after manipulating terms, we get x2 + 9x - 3x - 27.
x2 + 9x - 3x - 27 = x(x + 9) - 3(x + 9)
= (x + 9)(x - 3).
For that we have to find factors of -27, which are ±1, ±3, ±9.
Now we have to arrange two numbers from these numbers such that a + b = 6 and a * b = 27.
By considering this, we get two numbers +9 and -3
9 + (-3) = 6 and 9*-3 = -27
Now after manipulating terms, we get x2 + 9x - 3x - 27.
x2 + 9x - 3x - 27 = x(x + 9) - 3(x + 9)
= (x + 9)(x - 3).
Most Upvoted Answer
What do we get after factorising x2+ 6x - 27?a)(x + 9)(x - 3)b)(x - 9)...
To factorise x2 + 6x - 27, we have to find two numbers ‘a’ and ‘b’ such that a + b = 6 and a * b = 27.
For that we have to find factors of -27, which are ±1, ±3, ±9.
Now we have to arrange two numbers from these numbers such that a + b = 6 and a * b = 27.
By considering this, we get two numbers +9 and -3
9 + (-3) = 6 and 9*-3 = -27
Now after manipulating terms, we get x2 + 9x - 3x - 27.
x2 + 9x - 3x - 27 = x(x + 9) - 3(x + 9)
= (x + 9)(x - 3).
For that we have to find factors of -27, which are ±1, ±3, ±9.
Now we have to arrange two numbers from these numbers such that a + b = 6 and a * b = 27.
By considering this, we get two numbers +9 and -3
9 + (-3) = 6 and 9*-3 = -27
Now after manipulating terms, we get x2 + 9x - 3x - 27.
x2 + 9x - 3x - 27 = x(x + 9) - 3(x + 9)
= (x + 9)(x - 3).
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Community Answer
What do we get after factorising x2+ 6x - 27?a)(x + 9)(x - 3)b)(x - 9)...
To factorise x2 + 6x - 27, we have to find two numbers ‘a’ and ‘b’ such that a + b = 6 and a * b = 27.
For that we have to find factors of -27, which are ±1, ±3, ±9.
Now we have to arrange two numbers from these numbers such that a + b = 6 and a * b = 27.
By considering this, we get two numbers +9 and -3
9 + (-3) = 6 and 9*-3 = -27
Now after manipulating terms, we get x2 + 9x - 3x - 27.
x2 + 9x - 3x - 27 = x(x + 9) - 3(x + 9)
= (x + 9)(x - 3).
For that we have to find factors of -27, which are ±1, ±3, ±9.
Now we have to arrange two numbers from these numbers such that a + b = 6 and a * b = 27.
By considering this, we get two numbers +9 and -3
9 + (-3) = 6 and 9*-3 = -27
Now after manipulating terms, we get x2 + 9x - 3x - 27.
x2 + 9x - 3x - 27 = x(x + 9) - 3(x + 9)
= (x + 9)(x - 3).
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What do we get after factorising x2+ 6x - 27?a)(x + 9)(x - 3)b)(x - 9)(x + 3)c)(x - 9)(x - 3)d)(x + 9)(x + 3)Correct answer is option 'A'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about What do we get after factorising x2+ 6x - 27?a)(x + 9)(x - 3)b)(x - 9)(x + 3)c)(x - 9)(x - 3)d)(x + 9)(x + 3)Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What do we get after factorising x2+ 6x - 27?a)(x + 9)(x - 3)b)(x - 9)(x + 3)c)(x - 9)(x - 3)d)(x + 9)(x + 3)Correct answer is option 'A'. Can you explain this answer?.
What do we get after factorising x2+ 6x - 27?a)(x + 9)(x - 3)b)(x - 9)(x + 3)c)(x - 9)(x - 3)d)(x + 9)(x + 3)Correct answer is option 'A'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about What do we get after factorising x2+ 6x - 27?a)(x + 9)(x - 3)b)(x - 9)(x + 3)c)(x - 9)(x - 3)d)(x + 9)(x + 3)Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What do we get after factorising x2+ 6x - 27?a)(x + 9)(x - 3)b)(x - 9)(x + 3)c)(x - 9)(x - 3)d)(x + 9)(x + 3)Correct answer is option 'A'. Can you explain this answer?.
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