Question 7. A student is called on to expand (x + 4) using the binomial theorem. Here are the steps they took to do so.
Step 1: List out the coefficients from
Pascal's Triangle.
P(x) = 1+3+3+1
Step 2: Multiply each term by the
descending powers of x.
P(x) = 1 (x3) +3(x2) +3(x2) +1 (30)
Step 3: Multiply each term by the
ascending powers of 4.
P(x) = 1(x3)(40) +3(x2)(41) +3(x1)(42) +1(x0)(43)
Step 4: Simplify the coefficients. P(x) = x3 + 12x2 + 16x +64
Which of the steps was applied incorrectly and affected the final result?
A) Step 1
B) Step 2
C) Step 3
D) Step 4