Can someone help with this?

9514 1404 393

  1. (x -3)(x -1)

  2. (x -4)(x +1)

Step-by-step explanation:

1. The long division is shown in the first attachment. The quotient is (x -3), so the factorization is ...

  x^2 -4x +3 = (x -1)(x -3)

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2. The long division is shown in the second attachment. The quotient is (x -4), so the factorization is ...

  x^2 -3x -4 = (x +1)(x -4)

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is