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ycow [4]
2 years ago
11

What is the factorization of the polynomial below? 5x2 - 35x + 60

Mathematics
1 answer:
natita [175]2 years ago
7 0

Answer:

5(x-3)(x-4)

Step-by-step explanation:

5x^2-35x+60

Start by factoring out a 5:

5(x^2-7x+12)

We need to find two integers that have a product of 12, and a sum of -7:

(-3)(-4)=12

-3-4=-7

We can split -7x into -3x and -4x

5(x^2-3x-4x+12)

Factor each half separately:

5[x(x-3)-4(x-3)]

Since x and -4 are both being multiplied by x-3, we can combine them:

5(x-3)(x-4)

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