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julia-pushkina [17]
2 years ago
12

Factor x3 – 7x2 – 5x + 35 by grouping. What is the resulting expression?

Mathematics
2 answers:
quester [9]2 years ago
8 0
X^3-7x^2-5x+35

= x^2(x-7) - 5 (x-7)   now by definition 

=(x^2-5)(x-7)

hope this helps
nadezda [96]2 years ago
8 0

Answer: Our final factorized form will be

(x-\sqrt5)(x+\sqrt5)(x-7)

Step-by-step explanation:

Since we have given that

x^3-7x^2-5x+35

We need to factorize the expression by grouping :

x^3-7x^2-5x+35\\\\=x^2(x-7)-5(x-7)\\\\=(x^2-5)(x-7)

Since we know that

a^2-b^2=(a+b)(a-b)

so,

x^2-5=(x-\sqrt5)(x+\sqrt5)

So, our final factorized form will be

(x-\sqrt5)(x+\sqrt5)(x-7)

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