Question

i need help solving

Answer 1

can you factor the quadratic polynomials?

Answer 2

yea i did that and got (x+5)(x^2+10x+25)/(x^2+3x-10)(x^2-4x+4)

Answer 3

factor means change (x^2+10x+25) to (x+5)(x+5)
you do that to all the expressions, and then (hopefully) cancel factors that are in the top and bottom

Answer 4

oh ok

Answer 5

can you factor (x^2 -4x +4) ?

Answer 6

(x+2)(x-2)

Answer 7

(x+2)(x-2)= x^2-4 (difference of squares)

to factor
(x^2 -4x +4)

the + in +4 (the last number) means both answers will have the same sign
the - in -4 (in -4x) means the larger answer will be -.
both of these rules means both answers are negative
now list pairs of factors that give 4:
1,4
2,2
which pair, with both negative, add up to the middle number -4?
yes -2 and -2
that means the factors are
(x-2)(x-2)

Answer 8

try x^2 +3x -10

Answer 9

(x-2) (x+5)

Answer 10

the -10 means the answers will have different signs
the +3 means the larger answer is + (and so the smaller is -)

Answer 11

now put it all together and cancel terms that are in the top and bottom

Answer 12

\[ \frac{(x-2)(x-2)(x+5)}{(x+5)(x+5)(x+5)(x-2) }\]

Answer 13

ok so then the answer for what i asked would be (x-2)/(x+5)^2

Answer 14

ty