Question

QUICK PLEAAASEEEEE HELPPP!

Given the expression: 4x2 + 18x − 10

Part A: What is the greatest common factor? Explain how to find it. (3 points)

Part B: Factor the expression completely. Show all necessary steps. (5 points)

Part C: Check your factoring from Part B by multiplying. Show all necessary steps. (2 points)

Answer 1

Part A: 8+10 = 18.

Part B: (x -5)(x+0.5)

Explanation:

Part A: to find the greatest common factor of the expression, multiply 4 x -10 to get -40. Then, find the factors of -40 which add up to 18. These factors are 8+10. You may need to tweak around with the signs of the numbers.

Part B:you could just put the equation in a graphing calculator or use the quadratic formula. But, re-write the middle with -5 and 0.5, like this: 4x^2-5x+0.5x-10. Then do 4x(x-0.5) + (5x +10). After that, rewrite the equation again like this: (4x-0.5)(5X+10)

Answer 2

Part A: the common factor is 2 because it is the most occurring.

Part B: 2(2x-1)(x+5)

Part C:

(2x2x-2)(x+5)

(4x-2)(x+5)

4x+4x5x-2x-2x5

4x1+1+4x5x-2x-10

4x2+20x-2x-10

=4x2+18x-10