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Using factorization, the expression 25x² + 15x - 10 =
- a)(25x - 10)(x - 1)
- b)(25x + 10) (x - 1)
- c)(25x - 10)(x + 1)
- d)(25x + 10)(x - 1)
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
Using factorization, the expression 25x² + 15x - 10 =a)(25x - 10)...
To factorize the expression 25x^2 - 15x - 10, we need to find two numbers that multiply to give -10 and add to give -15. Let's call these numbers a and b.
1. Finding the factors of -10:
The factors of -10 are: -1, 1, -2, 2, -5, and 5.
2. Finding the numbers a and b:
To find the numbers a and b that add up to -15 and multiply to -10, we can try different combinations of the factors of -10. After some trial and error, we find that -5 and 2 satisfy these conditions.
3. Writing the expression:
Now that we have the numbers a and b, we can write the expression as follows:
25x^2 - 15x - 10 = (5x + a)(5x + b)
Substituting a = -5 and b = 2, we have:
25x^2 - 15x - 10 = (5x - 5)(5x + 2)
Simplifying further, we get:
25x^2 - 15x - 10 = 5(x - 1)(5x + 2)
So, the correct factorization of the expression 25x^2 - 15x - 10 is:
(25x - 10)(x + 1)
1. Finding the factors of -10:
The factors of -10 are: -1, 1, -2, 2, -5, and 5.
2. Finding the numbers a and b:
To find the numbers a and b that add up to -15 and multiply to -10, we can try different combinations of the factors of -10. After some trial and error, we find that -5 and 2 satisfy these conditions.
3. Writing the expression:
Now that we have the numbers a and b, we can write the expression as follows:
25x^2 - 15x - 10 = (5x + a)(5x + b)
Substituting a = -5 and b = 2, we have:
25x^2 - 15x - 10 = (5x - 5)(5x + 2)
Simplifying further, we get:
25x^2 - 15x - 10 = 5(x - 1)(5x + 2)
So, the correct factorization of the expression 25x^2 - 15x - 10 is:
(25x - 10)(x + 1)
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Community Answer
Using factorization, the expression 25x² + 15x - 10 =a)(25x - 10)...
25x2+ 15x - 10
= 25x2+25x-10x-10
= 25x(x+1)-10(x+1)
= (25x-10)(x+1) ans
= 25x2+25x-10x-10
= 25x(x+1)-10(x+1)
= (25x-10)(x+1) ans
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Using factorization, the expression 25x² + 15x - 10 =a)(25x - 10)(x - 1)b)(25x + 10) (x - 1)c)(25x - 10)(x + 1)d)(25x + 10)(x - 1)Correct answer is option 'C'. Can you explain this answer?
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