Factor math problems.. please help?

1. Factor completely: x^2 + 10x + 25


A) (x + 5)(x - 5)


B) (x + 5)(x + 5)


C) (x - 5)(x - 5)


D) (x + 25)(x + 1)





2. Factor completely: 3x^2 - 12


A) 3(x^2 - 4)


B) 3(x + 2)(x + 2)


C) 3(x + 2)(x - 2)


D) (x + 2)(x - 2)





3. Factor completely: 2x^2 - x - 10


A)(2x - 5)(x + 2)


B) (2x + 5)(x - 2)


C) (2x + 5)(x + 2)


D) (2x - 5)(x - 2)





4. Simplify completely: 4x -8 / x-2


A) 4(x-2) / (x-2)


B) 4


C) 8


D) 3x+4





could someone please help me with these math problems.. thanks you ..

Factor math problems.. please help?
x² + 10x + 25





The middle term is + 10x





Find the sum of the middle term





x = 1





Multiply the first term 1 times the last term 25 equals 25 and factor





Factors of 25 =





1 x 25


5 x 5. . .%26lt;= . .use these factors





+ 5 and + 5 satisft the sum of the middle term





insert + 5x and + 5x into the equation





x² + 10x + 25





x² + 5x + 5x + 25





x(x + 5) + 5(x + 5)





(x + 5)(x + 5)





- - - - - - - - -s-
Reply:1.


x^2+10x+25


(x+5)(x+5)


The answer is B.





2.


3x^2-12


3(x^2-4)


3(x-2)(x+2)


The answer is C.





3.


2x^2-x-10


(2x-5)(x+2)


The answer is A.





4.


4x-8/x-2


4(x-2)/(x-2)=


4


The answer is B.
Reply:1. x^2 + 10x + 25


= x^2 + 5x + 5x + 25


= x(x+5) + 5(x+5)


= (x+5)^2


=%26gt; B





2. 3x^2 - 12


= 3(x^2 - 4)


= 3 (x^2 - 2^2)


= 3(x-2)(x+2)


=%26gt; C





3. B





4. A
Reply:1. b


2. c


3. a


4. b
Reply:1. b


2. c


3. a


4. If it's (4x - 8) / (x - 2), it's b, because 4x - 8 can be expressed as 4 (x - 2)
Reply:1. B, cuz A=x^2-25, C=x^2-10x+25, D=x^2+26x+25


2. C, cuz A isn't completely factored, B=3x^2+12x+12, D=x^2-4


3. A, cuz B=2x^2+x-10, C=2x^2+9x+10, D=2x^2-9x+10


4. B, cuz A isn't completely simplified but when you divide out the (x-2)/(x-2) you are left with 4.
Reply:1. Factor completely: x^2 + 10x + 25


A) (x + 5)(x - 5)


B) (x + 5)(x + 5)


C) (x - 5)(x - 5)


D) (x + 25)(x + 1)


Answer is B. x*x =x^2; 5*5=25; 5*x+5*x =10x


2. Factor completely: 3x^2 - 12


A) 3(x^2 - 4)


B) 3(x + 2)(x + 2)


C) 3(x + 2)(x - 2)


D) (x + 2)(x - 2)


Answer is C. A is correct but did not go far enough. x^2-4 can be factored to (x+4)(x-4).


3. Factor completely: 2x^2 - x - 10


A)(2x - 5)(x + 2)


B) (2x + 5)(x - 2)


C) (2x + 5)(x + 2)


D) (2x - 5)(x - 2)


Answer is A. 2x*x =2x^2; (-5)(2)=-10;(-5)x +(2x)2 = -x





4. Simplify completely: (4x -8) / (x-2)


A) 4(x-2) / (x-2)


B) 4


C) 8


D) 3x+4


Answer is B. A did not cancel the x-2 terms to get 4. It should that x cannot be equal to 2 or you would be dividing by zero which is a no-no
Reply:1. B


2. C


3. A


4. B





Let me know if you need an explanation.
Reply:1. x^2 + 10x + 25 = (x+5)(x+5) = B





2. 3x^2 - 12 = x^2 - 4 = 3(x-2)(x+2) = C





3. 2x^2 - x - 10 = (2x-5)(x+2) = A





4. 4x -8 / x-2 = 4 = B

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