Factor the polynomials. 3x^{2}-21x+30

feminizmiki 2021-12-15 Answered
Factor the polynomials.
3x221x+30
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Expert Answer

Jim Hunt
Answered 2021-12-16 Author has 45 answers
Consider the given polynomial:
3x221x+30
Now, splitting the middle term, we get,
3x221x+30
=3x215x6x+30
=3x(x-5)-6(x-5)
=(x-5)(3x-6)
=3(x-5)(x-2)
Hence, the given polynomial is factorised as:
3x221x+30=3(x5)(x2)

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twineg4
Answered 2021-12-17 Author has 33 answers
Given:
3x221x+30
3(x27x+10)
Use the sum of the products
3(x27x+10)
3(x22x5x+10)
Find the common factor for two pairs
3(x22x5x+10)
3(x(x-2)-5(x-2))
Multiply by factors
3(x(x-2)-5(x-2))
3(x-5)(x-2)
The solution:
3(x-5)(x-2)

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