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; \(f ( x ) = ( x + 10 ) \left( x ^ { 3 } + x - 9 \right)\)

---

Definitions:

Friendship

A close and enduring social relationship between two individuals involving mutual affection and support.

Lifelong Neighborhoods

Communities designed to support residents through various stages of life, offering amenities, services, and social opportunities suitable for all ages.

Ethnic Group

A community of people who share common cultural characteristics, ancestry, language, or social experiences.

Suburb of Chicago

A residential area or community located on the outskirts of Chicago, often characterized by commuting to the city for work or leisure.