Answer:
a = - 8
Step-by-step explanation:
A polynomial divided by factor (x - h) has a remainder given by f(h)
Here the divisor is (x - 2), thus f(2) gives the remainder, that is
2³ + 2(2)² - 7(2) + a = 4 ← 4 being the remainder
8 + 8 - 14 + a = 4, that is
12 + a = 4 ( subtract 12 from both sides )
a = - 8
16 = 2/3f
16 ÷ 2/3 = f
16 × 3/2 = f
48/2 = f
24 = f
Answer:

Step-by-step explanation:
Given

Required
The value of a
Cross multiply

Make a the subject


