Substitute x with −5: Given the function f(x)=2x2+7x+1, we need to find the value of f(−5). This means we will substitute x with −5 in the function and simplify.Calculation: f(−5)=2(−5)2+7(−5)+1
Calculate square of −5: First, calculate the square of −5.Calculation: (−5)2=25
Multiply 2 by square: Next, multiply 2 by the result of (−5)2.Calculation: 2×25=50
Multiply 7 by −5: Now, multiply 7 by −5.Calculation: 7×(−5)=−35
Add all terms together: Finally, add all the terms together: 50 (from step 3), −35 (from step 4), and the constant term 1.Calculation: 50−35+1=16
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