6.5 Factor Theorem

Front

f(x) = x³ + 6x² – 9x -14. Find f(1)

Back

-16

Front

Is (x-1) a factor of f(x) = x³ + 6x² – 9x -14, given that f(1) = -16?

Back

No

Front

f(x) = x³ + 6x² – 9x -14. Find f(2)

Back

0

Front

Is (x-2) a factor of f(x) where f(x) = x³ + 6x² – 9x -14 and f(2) = 0?

Back

Yes

Front

f(x) = x³ + 4x² -17x - 60. A factor of f(x) is? (Options: (x-5), (x-4), (x-3))

Back

(x-4)

Front

f(x) = x³ + 4x² -17x - 60

Back

f(x) = (x+3)(x-4)(x+5)

Front

The factor theorem states that if f(a) = 0, then a factor of f(x) is

Back

(x - a)

Front

Which explanation correctly uses the factor theorem to show why (x+2) is not a factor of x³ - 2x² – 11x +12 ?

Back

f(-2) = 18, so (x+2) is not a factor

Front

Which explanation correctly uses the factor theorem to show why (x-4) is a factor of x³ - 2x² – 11x +12 ?

Back

f(4) = 0, so (x-4) is a factor