Question

jamarion bruce
q3 - accelerated mathematics gr 8 | quiz 1

1. what is the final simplified form of the product $(x - 4)(x + 5)$?

a. $x^2 - x - 20$
b. $x^2 - 20$
c. $x^2 + 5x - 4x$
d. $x^2 + x - 20$

Explanation:

Step1: Apply FOIL method

$(x-4)(x+5) = x\cdot x + x\cdot5 -4\cdot x -4\cdot5$

Step2: Calculate each term

$=x^2 +5x -4x -20$

Step3: Combine like terms

$=x^2 + (5x-4x) -20 = x^2 +x -20$

Answer:

d. $x^2 + x - 20$