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What is the factored for of the polynomial x2 - 16x + 48

User SimonAx
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2 Answers

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What two factors of 48 add up to -16? -4 and -12

So the factored form would be (x-4)(x-12)
User Max Shmelev
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Answer:


(x-12)(x-4)

Explanation:


x^2 - 16x + 48

In the given expression , the product is 48 and sum is -16

-4 times -12 gives us 48

-4 plus -12 gives us -16. So two factors are -4 and -12

Beak the middle term using factors


x^2 -4x-12x+48

Group first two terms and last two terms


(x^2 -4x)+(-12x+48)

FActor out GCF from each group


x(x -4)-12(x-4)

FActor out x-4 that is in common


(x-12)(x-4)

User Asalle
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