Use the Factor Theorem to Determine Whether X - C $$f ( x ) = x ^ { 4 } + 10 x ^ { 3 } + 7 x ^ { 2 } + 61 x - 90 ; c = - 10$$

question 275

Multiple Choice

Use the Factor Theorem to determine whether x - c is a factor of f. If it is, write f in factored form, that is, write f in the
form f(x) = (x - c) (quotient) .
- $$f ( x ) = x ^ { 4 } + 10 x ^ { 3 } + 7 x ^ { 2 } + 61 x - 90 ; c = - 10$$

• A) Yes; \(\mathrm { f } ( \mathrm { x } ) = ( \mathrm { x } + 10 ) \left( \mathrm { x } ^ { 3 } + 7 \mathrm { x } - 9 \right)\)
• B) Yes; \(f ( x ) = ( x - 10 ) \left( x ^ { 3 } + 7 x + 9 \right)\)
• C) No
• D) Yes; \(f ( x ) = ( x + 10 ) \left( x ^ { 3 } + x - 9 \right)\)

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