QuestionAugust 25, 2025

Evaluate the given polynomial for the indicated value of the variable. -x^2-4x+4 for x=-4 square

Evaluate the given polynomial for the indicated value of the variable. -x^2-4x+4 for x=-4 square
Evaluate the given polynomial for the indicated value of the variable. -x^2-4x+4 for x=-4 square

Solution
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Answer

4 Explanation 1. Substitute x = -4 into the polynomial Replace x with -4: -(-4)^{2} - 4(-4) + 4 2. Calculate (-4)^2 (-4)^2 = 16 3. Evaluate -(-4)^2 -16 4. Calculate -4(-4) 16 5. Combine all terms -16 + 16 + 4 = 4

Explanation

1. Substitute $x = -4$ into the polynomial<br /> Replace $x$ with $-4$: $-(-4)^{2} - 4(-4) + 4$<br />2. Calculate $(-4)^2$<br /> $(-4)^2 = 16$<br />3. Evaluate $-(-4)^2$<br /> $-16$<br />4. Calculate $-4(-4)$<br /> $16$<br />5. Combine all terms<br /> $-16 + 16 + 4 = 4$
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