Mathematics $10 \mathrm{C}$
10
Assignment Bookl.
(3 marks) 2. Look at the second row you completed, $(3 x+4)(2 x-1)$.
a. What is the product of the $x^{2}$-term and the constant?
b. How does the product in 2.a compare with the product of the two x-terms?
c. How does the sum of the two x-terms compare with the coefficient of the $x$-term in the final answer?
Answer
c. The sum of the coefficients of the two x-terms is equal to the coefficient of the $x$-term in the final answer \(\boxed{5}\)
Step 1 ：Expand the expression: \((3x+4)(2x-1) = 6x^2 + 5x - 4\)
Step 2 ：a. The product of the $x^2$-term and the constant is \(-24\)
Step 3 ：b. The product of the two x-terms is the same as the $x^2$-term in the expanded expression
Step 4 ：c. The sum of the coefficients of the two x-terms is equal to the coefficient of the $x$-term in the final answer \(\boxed{5}\)
