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Answer :
To find [tex]\( F(-5) \)[/tex] for the polynomial [tex]\( F(x) = x^2 - 2x - 7 \)[/tex], we need to substitute [tex]\(-5\)[/tex] into the expression and simplify. Here's a step-by-step solution:
1. Start with the polynomial:
[tex]\[ F(x) = x^2 - 2x - 7 \][/tex]
2. Substitute [tex]\( x = -5 \)[/tex] into the polynomial:
[tex]\[ F(-5) = (-5)^2 - 2(-5) - 7 \][/tex]
3. Calculate each term:
- [tex]\( (-5)^2 = 25 \)[/tex]
- [tex]\( -2(-5) = 10 \)[/tex]
- The constant [tex]\( -7 \)[/tex] remains as is.
4. Add these results together:
[tex]\[ F(-5) = 25 + 10 - 7 \][/tex]
5. Simplify the expression:
[tex]\[ 25 + 10 = 35 \][/tex]
[tex]\[ 35 - 7 = 28 \][/tex]
Therefore, the value of [tex]\( F(-5) \)[/tex] is [tex]\( 28 \)[/tex].
The correct answer is C. 28.
1. Start with the polynomial:
[tex]\[ F(x) = x^2 - 2x - 7 \][/tex]
2. Substitute [tex]\( x = -5 \)[/tex] into the polynomial:
[tex]\[ F(-5) = (-5)^2 - 2(-5) - 7 \][/tex]
3. Calculate each term:
- [tex]\( (-5)^2 = 25 \)[/tex]
- [tex]\( -2(-5) = 10 \)[/tex]
- The constant [tex]\( -7 \)[/tex] remains as is.
4. Add these results together:
[tex]\[ F(-5) = 25 + 10 - 7 \][/tex]
5. Simplify the expression:
[tex]\[ 25 + 10 = 35 \][/tex]
[tex]\[ 35 - 7 = 28 \][/tex]
Therefore, the value of [tex]\( F(-5) \)[/tex] is [tex]\( 28 \)[/tex].
The correct answer is C. 28.
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