Shenika factored the polynomial completely. What is the value of cap A ? 5 x cubed plus 35 x squared plus 6 x plus 42 open paren 5 x squared plus cap A close paren times open paren x plus cap b close paren
Answer
A
7
B
6
C
1
D
5
Explanation
Group the terms: 5x³ + 35x² + 6x + 42 = 5x²(x + 7) + 6(x + 7). Factoring out the common factor (x + 7) gives (5x² + 6)(x + 7). Therefore, cap A is 6, which is choice B.
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