paul creates the diagram to help him factor 4x² + x - 5 by using double grouping. his diagram is incomplete…

paul creates the diagram to help him factor 4x² + x - 5 by using double grouping. his diagram is incomplete. which terms should paul write in squares m₁ and m₂? 5x and -4x -5x and 4x -2x and 10x 2x and -10x

paul creates the diagram to help him factor 4x² + x - 5 by using double grouping. his diagram is incomplete. which terms should paul write in squares m₁ and m₂? 5x and -4x -5x and 4x -2x and 10x 2x and -10x

Answer

Explanation:

Step1: Multiply leading and constant terms

Multiply the coefficient of $x^{2}$ (which is 4) and the constant term (- 5). So, $4\times(-5)=-20$.

Step2: Find two - numbers that multiply to - 20 and add to 1

The two numbers are 5 and - 4 since $5\times(-4)=-20$ and $5+( - 4)=1$.

Step3: Rewrite the middle term

The middle term $x$ can be rewritten as $5x-4x$. So the terms for $M_1$ and $M_2$ should be $5x$ and $-4x$.

Answer:

5x and -4x