The common factor that is missing from both set of parentheses is (b) 2x + 7
The expression that factors the polynomial is given as:
[tex]10x^3 + 35x^2 - 4x - 14 = 5x^2() - 2 ()[/tex]
Factor out 5x^2 from the first two terms
[tex]10x^3 + 35x^2 - 4x - 14 = 5x^2(2x + 7) - 2 ()[/tex]
Factor out 2 from the next two terms
[tex]10x^3 + 35x^2 - 4x - 14 = 5x^2(2x + 7) - 2 (2x + 7)[/tex]
Notice that, the expressions in both parentheses are the same, and the expression is 2x +7
Hence, the common factor that is missing from both set of parentheses is (b) 2x + 7
Read more about factoring polynomials at:
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