Question

An expression is shown below:

3x3y + 12xy - 3x2y - 12y

Part A: Rewrite the expression so that the GCF is factored completely.

Answer 1

3x3y+12xy-3x2y-12y
=9xy+12xy-6xy-12y
=21xy-6xy-12y
=15xy-12y
=3y(5x-4)

Answer 2

Rewrite the expression completely factored.

Answer 3

3y(5x-4)

Answer 4

If the two middle terms were switched so that the expression became 3x^3y - 3x^2y + 12xy - 12y, would the factored expression no longer be equivalent to your answer in part B?

Answer 5

ok.sorry i misunderstood the question.

Answer 6

=3y(x^3+x^2+4x-4)
=3y(x^2(x-1)+4(x-1))
=3y(x^2+4)(x-1)

Answer 7

Write the expression x2 + 7x + 12 as a product of two linear expressions.

Answer 8

=x^2+3x+4x+12
=x(x+3)+4(x+3)
(x+3)(x+4)

Answer 9

Write the expression x^2 + 7x + 12 as a product of two linear expressions.

Answer 10

(x+3)(x+4) that's what i wrote

Answer 11

lol sorry hang on

Answer 12

Rewrite x^2 + 4x + 4 as a square of a linear expression

Answer 13

@neer2890 , i got it typed write lol

Answer 14

(x+2)(x+2)

Answer 15

Do the expressions in parts A and B have a common factor?
a is Write the expression x2 + 7x + 12 as a product of two linear expressions
and b is Rewrite x2 + 4x + 4 as a square of a linear expression

Answer 16

(x+2)^2

Answer 17

no common factor.you can see

Answer 18

The area of a square is (25x^2 - 20x + 4) square units. Determine the length of each side of the square by factoring the area expression completely

Answer 19

you can find the roots of quadratic equation
\[ax ^{2}+bx+c=0\]
by
\[x=\frac{ -b \pm \sqrt{b ^{2}-4ac} }{ 2a }\]

Answer 20

The area of a rectangle is (49x2 - 36y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely.

Answer 21

@neer2890 were almost done lol

Answer 22

Area of rectangle= length* breadth
(49x^2-36y^2)
=(7x)^2-(6y)^2=(7x+6y)(7x-6y)

Answer 23

The volume of a rectangular box is (x^3 + 2x^2 - 9x - 18) cubic units. Determine the dimensions of the rectangular box by factoring the volume expression completely

Answer 24

(x+2) is a factor.

Answer 25

so divide by (x+2)

Answer 26

(x+2)(x^2-9)
=(x+2)(x+3)(x-3)

Answer 27

now i'm done buddy..lol

Answer 28

for the night oooorrr that prob lol

Answer 29

theres only 5 after this one @neer2890 f(x) = -16x2 + 60x + 16

Part A: What are the x-intercepts of the graph of the f(x)?

Answer 30

i'm sorry, tired of doing the same problems..!
don't mind please.

Answer 31

your fine! thank you SOOOOOOO much though =)

Answer 32

@patrickthestar can you help?

Answer 33

f(x) = -16x^2 + 60x + 16

Part A: What are the x-intercepts of the graph of the f(x)?

Answer 34

I have no idea man I suck at math

Answer 35

lol

Answer 36

@goformit100 ?

Answer 37

f(x) = -16x^2 + 60x + 16

Part A: What are the x-intercepts of the graph of the f(x)?

Answer 38

the answer is C purple because aliens don't wear hats

Answer 39

for real though lol

Answer 40

lol idk man im a sophomore and I still suck at math XD

Answer 41

IM A SENIOR

Answer 42

@wio ? help

Answer 43

This is algebra I, seniors are taking Calculus...

For the x intercepts you can factor and set it equal to zero or use the Quadratic formula. BTW, these look awfully familiar to FLVS final exams. We aren't allowed to help you on exams.

Answer 44

its certainly not a final, i wouldnt use openstudy for that, but yea i am in a crzy pickle where i was told a week from grad that i was missing agl 1 and they told me the year before that that i had everything i needed and just to chill, so ive been goin crazy

Answer 45

Hm, well doesn't matter.

Factor it to find the x intercepts. Or use the Quad formula