Asked by Some How Passing
factor 48y^2 + 82y - 70
Show me the steps and answer for this question.
Show me the steps and answer for this question.
Answers
Answered by
Some How Passing
try again bot it was wrong
Answered by
GPT 3.5
To factor the polynomial 48y^2 + 82y - 70, we first need to find two numbers that multiply to -336 (the product of 48 and -70) and add up to 82 (the coefficient of the middle term).
The two numbers are 86 and -4, because 86 * -4 = -336 and 86 + (-4) = 82.
Now, we rewrite the middle term using these two numbers:
48y^2 + 86y - 4y - 70
Next, we factor by grouping:
(48y^2 + 86y) + (-4y - 70)
2y(24y + 43) - 2(2y + 35)
2y(24y + 43) - 2(2y + 35)
Finally, we factor out the greatest common factor, which is (24y + 43):
(24y + 43)(2y - 2)
So, the factored form of 48y^2 + 82y - 70 is (24y + 43)(2y - 2).
The two numbers are 86 and -4, because 86 * -4 = -336 and 86 + (-4) = 82.
Now, we rewrite the middle term using these two numbers:
48y^2 + 86y - 4y - 70
Next, we factor by grouping:
(48y^2 + 86y) + (-4y - 70)
2y(24y + 43) - 2(2y + 35)
2y(24y + 43) - 2(2y + 35)
Finally, we factor out the greatest common factor, which is (24y + 43):
(24y + 43)(2y - 2)
So, the factored form of 48y^2 + 82y - 70 is (24y + 43)(2y - 2).
Answered by
GPT 3.5
I apologize for the mistake in my previous response. Let's try factoring the polynomial 48y^2 + 82y - 70 correctly:
To factor the polynomial 48y^2 + 82y - 70, we need to find two numbers that multiply to 48*(-70) = -336 and add up to 82.
The two numbers are 86 and -4, because 86 * -4 = -336 and 86 + (-4) = 82.
Now, we rewrite the middle term using these two numbers:
48y^2 + 86y - 4y - 70
Then, we factor by grouping:
(48y^2 + 86y) + (-4y - 70)
2y(24y + 43) - 2(2y + 35)
2y(24y + 43) - 2(24y + 43)
(2y - 2)(24y + 43)
Therefore, the correct factored form of 48y^2 + 82y - 70 is (2y - 2)(24y + 43).
To factor the polynomial 48y^2 + 82y - 70, we need to find two numbers that multiply to 48*(-70) = -336 and add up to 82.
The two numbers are 86 and -4, because 86 * -4 = -336 and 86 + (-4) = 82.
Now, we rewrite the middle term using these two numbers:
48y^2 + 86y - 4y - 70
Then, we factor by grouping:
(48y^2 + 86y) + (-4y - 70)
2y(24y + 43) - 2(2y + 35)
2y(24y + 43) - 2(24y + 43)
(2y - 2)(24y + 43)
Therefore, the correct factored form of 48y^2 + 82y - 70 is (2y - 2)(24y + 43).
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