This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here are the solutions to the problems. Problem 1: Evaluate the polynomial 5x - 4x^2 + 3 for the given values of x. Let the polynomial be P(x) = -4x^2 + 5x + 3. Part (i): For x = 0 Step 1: Substitute x=0 into the polynomial. P(0) = -4(0)^2 + 5(0) + 3 Step 2: Simplify the expression. P(0) = -4(0) + 0 + 3 P(0) = 0 + 0 + 3 P(0) = 3 Part (ii): For x = -1 Step 1: Substitute x=-1 into the polynomial. P(-1) = -4(-1)^2 + 5(-1) + 3 Step 2: Simplify the expression. P(-1) = -4(1) - 5 + 3 P(-1) = -4 - 5 + 3 P(-1) = -9 + 3 P(-1) = -6 Part (iii): For x = 2 Step 1: Substitute x=2 into the polynomial. P(2) = -4(2)^2 + 5(2) + 3 Step 2: Simplify the expression. P(2) = -4(4) + 10 + 3 P(2) = -16 + 10 + 3 P(2) = -6 + 3 P(2) = -3 Problem 2: Multiply 273 × 27. Step 1: Multiply 273 by the units digit of 27, which is 7. 273 × 7 = 1911 Step 2: Multiply 273 by the tens digit of 27, which is 2 (representing 20). 273 × 20 = 5460 Step 3: Add the results from Step 1 and Step 2. 1911 + 5460 = 7371 The product is 7371. That's 2 down. 3 left today — send the next one.