Help on (b) please
a level maths factor theorem

Step-by-step explanation:

According to factor theorem, if x − c is a factor of f(x), then f(c) = 0.

Conversely, if f(c) = 0, then x −c is a factor of f(x).

a) If x − 3 is a factor of f(x), then f(3) will be 0.

f(3) = 4(3)³ − 12(3)² + 2(3) − 6

f(3) = 0

b) Having shown that x − 3 is a factor of f(x), we can use grouping or long division to factor f(x):

f(x) = 4x³ − 12x² + 2x − 6

f(x) = 4x² (x − 3) + 2 (x − 3)

f(x) = (4x² + 2) (x − 3)

Since 4x² + 2 has only imaginary zeros, 3 is the only real root.

ans789

step-by-step explanation:

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.