Question

Factor completely using the most appropriate method.
a) w^2-30-7w
b)24x-x^3-10x^2
c)9-(2x+3)^2
d)x^2 - 1/4

Answer 1

a)\[w^{2}+3w-10w-30\]

Answer 2

w(w+3)-10(w+3)

Answer 3

(w+3)(w-10)

Answer 4

b)take -x common

Answer 5

for part A, how did you get 3 and -10?
i thought you were supposed to find two numbers that multiply to -7 and add up to -30
3 X -10=-30
3 + (-10) =-7

Answer 6

\[= -x(-24+x^{2}+10x)\]

Answer 7

you are right

Answer 8

\[=-x(x^{2}+10x-24)\]

Answer 9

\[=-x(x^{2}-6x-4x+24)\]

Answer 10

=-x[x(x-6)-4(x-6)

Answer 11

=-x[(x-6)(x-4)]

Answer 12

are u following

Answer 13

yes i am

Answer 14

c)\[=3 ^{2}-\left( 2x+3 \right){2}\]

Answer 15

for part C, do you have to use the foil method?

Answer 16

it in the form of
\[x^{2}-y^{2}=(x+y)(x-y)\]

Answer 17

[(3+(2x+3)][3-(2x+3)]

Answer 18

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

Answer 19

(6+2x)(-2x)

Answer 20

take 2 as common

Answer 21

2(3+x)(-2x)

Answer 22

=2(-2)x(x+3)
=-4x(x+3)

Answer 23

is it clear

Answer 24

so -4x(x+3) is the final answer? in my book, the answer is (2x+6)(-2x)

Answer 25

both are same ,i simplified further

Answer 26

ok

Answer 27

d) is like above problem,can u try or may i help u

Answer 28

i'll try it and you can make sure that it's right

Answer 29

good