Step-by-step explanation:
f(x) = bx² + x - 7
g(x) = x — 2
Remainder is 3.
Let us find the zero of g(x).
→ g(x) = 0
→ g(x) = x - 2
→ 0 = x - 2
→ x = 2
Now, as when f(x) is divided by g(x), then remainder is 3. So,
→ f(2) = 2
→ b(2)² + 2 - 7 = 2
→ 4b - 5 = 2
→ 4b = 7
→ b = 7/4
Therefore, the answer is 7/4.
