Factoring a polynomial involves rewriting the polynomial in a different form.
The missing expression is (b) 2x + 7
The factoring of 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]5x^2(2x + 7) -4x - 14 = 5x^2() -2()[/tex]
Factor out -2 from the other two terms
[tex]5x^2(2x + 7) -2(2x + 7) = 5x^2() -2()[/tex]
By comparison, the expression in the bracket is [tex]2x + 7[/tex]
Hence, the missing expression is (b) 2x + 7
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