Question

I need help understanding what I did wrong in my answer. I’m not understanding the answer key answer. Instructions are to factor these trinomial

Answer 1

See the two pictures, explanation and solution ^_^

In order to check your answer is true or false. We check the two analyzes whether the number from the equation becomes 19x. First you multiply the first number in the first bracket by the second number in the second bracket 2x by 3 to get 6x. Secondly, you multiply the second number of the first bracket by the first number of the second bracket -5 by 4x to get -20x. The sum of the two numbers that you extracted from multiplying the numbers in parentheses (6x) + (-20x) equals - 14x, so this number is not the number 19x, so the first analysis error . Try it for the second analysis .

You can multiply the parentheses together and check the solution too.

`(2x - 5)(4x + 3) \\ (2x)(4x) + (2x)(3) + ( - 5)(4x) + ( - 5)(3) \\ = 8 {x}^(2) + 6x - 20x - 15 \\ = 8 {x}^(2) - 14x - 15`

`(8x - 5)(x + 3) \\ (8x)(x) + (8x)(3) + ( - 5)(x) + ( - 5)(3) \\ = 8 {x}^(2) + 24x - 5x - 15 \\ = 8 {x}^(2) + 19x - 15`