Algebra 1 questions, Help please?

Question

Ok, so I need help as soon as possible. Here are the Algebra 1 questions: 

1.) Find the product:  (2x + 1)(x + 3)

2.) Find the product:  (x + 1)(x^2 + x + 1)

3.) Find the product:  (x + 2)(x - 2)

4.) Find the product:  (x + 5)^2

5.) Use the zero-product property to solve the equation:
    (x + 4)(x - 2) = 0

6.) Use the zero-product property to solve the equation:
    (x + 3)^2 = 0

7.) A rectangle has an area given by A = x^2 + 5x + 6
    Find an expression for the possible width of the rectangle.

Please respond if you know the answer to any of those questions. Thanks so much!

Ezekiel · Accepted Answer

1
after multiplying, we'll get:
2x^2+x+6x+3
=2x^2+7x+3.

#2
after multiplying, we'll get:
x^3+x^2+x^2+x+x+1
=x^3+2x^2+2x+1.

#3
after multiplying, we'll get:
x^2+2x-2x-4
=x^2-4

#4
(x+5)(x+5)
=x^2+5x+5x+25
=x^2+10x+25.

#5
(x+4)=0
x=-4
(x-2)=0
x=2.

#6
(x+3)^2=0
x+3= sqrt(0)
x+3=0
x=-3
or
(x+3)(x+3)=0
(x+3)=0
x=-3
the same procedure to d second (x+3).

#7
area=x^2+5x+6
=(x^2+3x+2x+6)
=x(x+3)+2(x+3)
=(x+2)(x+3)
therefore the width of the rectangle if vertical= (x+2) and if horizontal= (x+3).

Thanks

Anonymous · Answer

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Algebra 1 questions, Help please?

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