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6x²+17x+5
solve using factorising factor?
solve using factorising factor?
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6x²+17x+5solve using factorising factor?
Solving 6x²+17x+5 using factorising method:
First, we need to factorise the quadratic expression 6x²+17x+5 by finding two numbers that multiply to 6*5=30 (coefficient of x² times constant term) and add up to 17 (coefficient of x).
Step 1: Find the two numbers
The two numbers that satisfy these conditions are 15 and 2, because 15*2=30 and 15+2=17.
Step 2: Rewrite the middle term
Now, we rewrite the middle term 17x using these two numbers. So, we rewrite 17x as 15x+2x.
Step 3: Group the terms
Group the terms of the quadratic expression 6x²+15x+2x+5.
Step 4: Factorise by grouping
Factorise the expression by grouping the terms and finding common factors.
6x²+15x+2x+5 = 3x(2x+5)+1(2x+5)
= (3x+1)(2x+5)
Step 5: Final result
Therefore, the factorised form of the quadratic expression 6x²+17x+5 is (3x+1)(2x+5).
First, we need to factorise the quadratic expression 6x²+17x+5 by finding two numbers that multiply to 6*5=30 (coefficient of x² times constant term) and add up to 17 (coefficient of x).
Step 1: Find the two numbers
The two numbers that satisfy these conditions are 15 and 2, because 15*2=30 and 15+2=17.
Step 2: Rewrite the middle term
Now, we rewrite the middle term 17x using these two numbers. So, we rewrite 17x as 15x+2x.
Step 3: Group the terms
Group the terms of the quadratic expression 6x²+15x+2x+5.
Step 4: Factorise by grouping
Factorise the expression by grouping the terms and finding common factors.
6x²+15x+2x+5 = 3x(2x+5)+1(2x+5)
= (3x+1)(2x+5)
Step 5: Final result
Therefore, the factorised form of the quadratic expression 6x²+17x+5 is (3x+1)(2x+5).
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6x²+17x+5solve using factorising factor?
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6x²+17x+5solve using factorising factor? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 6x²+17x+5solve using factorising factor? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 6x²+17x+5solve using factorising factor?.
6x²+17x+5solve using factorising factor? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 6x²+17x+5solve using factorising factor? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 6x²+17x+5solve using factorising factor?.
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