Question

Help!!! please! im on my last try!

Answer 1

Answer:

1) Option 2 - x=-3 or x=5

2) option 4 - x=4 or x=7

3) Option 3 - x=-4 or x=9

4) Option 1 - x=4 or x=-6

5) Option 1 - $x^2+3x-28=0$

Step-by-step explanation:

1) Solve using the zero product property  $(x + 3)(x - 5) = 0$

Solution :

Zero product property states that if ab=0 then a=0 or b=0.

Applying,  $(x + 3)(x - 5) = 0$

Either $x+3=0$ or $x-5=0$

Either $x=-3$ or $x=5$

So, Option 2 is correct.

2) Solve by factoring and applying the zero product property $x^2-11x+28=0$

Solution :

$x^2-11x+28=0$

Applying middle term split,

$x^2-4x-7x+28=0$

$x(x-4)-7(x-4)=0$

$(x-4)(x-7)=0$

Applying zero product property,

Either $x-4=0$ or $x-7=0$

Either $x=4$ or $x=7$

So, Option 4 is correct.

3) Solve by factoring and applying the zero product property $x^2-5x=36$

Solution :

$x^2-5x-36=0$

Applying middle term split,

$x^2-9x+4x-36=0$

$x(x-9)+4(x-9)=0$

$(x-9)(x+4)=0$

Applying zero product property,

Either $x-9=0$ or $x+4=0$

Either $x=9$ or $x=-4$

So, Option 3 is correct.

4) For what values is the following true? $x^2+2x-4=20$

Solution : To get the result we factor the equation,

$x^2+2x-24=0$

Applying middle term split,

$x^2+6x-4x-24=0$

$x(x+6)-4(x+6)=0$

$(x+6)(x-4)=0$

Applying zero product property,

Either $x+6=0$ or $x-4=0$

Either $x=-6$ or $x=4$

So, Option 1 is correct.

5) To find the solution to the equation using factoring, we need to first write it in standard form. Which of the following choices is equivalent to the equation : $(x-2)(x + 5) = 18$

Solution :

To write in standard form we just multiply the terms,

$(x-2)(x + 5)=18$

$x^2+5x-2x-10=18$

$x^2+3x-10=18$

$x^2+3x-10-18=0$

$x^2+3x-28=0$

So, Option 1 is correct.

Answer 2

Answer:

1. x = -3 or x = 5

2. x = 4 or x = 7

3. - 4 and 9

4. x = 4 or x = - 6

5. Unfortunately I got this one wrong, but put the answers above and you'll get an 80%