Question

WHICH ONE IS IT
What value of 'b' would make 10y^2 + by + 3 factorable?
a) 20
b) 23
c) 11
d) 12

Answer 1

D = b^2 - 4ac ... start with the discriminant formula

D = b^2 - 4*10*3 ... plug in a = 10, c = 3

D = b^2 - 120 ... multiply

Answer 2

Now plug in each answer choice and see if you get a perfect square

D = b^2 - 120

D = 20^2 - 120 ... plug in b = 20

D = 400 - 120

D = 280

280 is NOT a perfect square, so 10y^2 + 20y + 3 is NOT factorable

Answer 3

Do the same for the other answer choices until you get a perfect square for D

Answer 4

Which binomial is a factor of 6y^2 - 13y + 6????

Answer 5

6y^2-13y+6


6y^2-4y-9y+6 ... Note: -4 and -9 add to -13 and multiply to 6*6 = 36


(6y^2-4y)+(-9y+6)


2y(3y-2)+(-9y+6)


2y(3y-2)-3(3y-2)


(2y-3)(3y-2)

Answer 6

So 6y^2-13y+6 factors to (2y-3)(3y-2)

Answer 7

I SEEE!!! wow thanks

Answer 8

yw

Answer 9

Which binomial is a factor of 24y^2 - 49y + 2?

Answer 10

24y^2-49y+2


24y^2-y-48y+2


(24y^2-y)+(-48y+2)


y(24y-1)+(-48y+2)


y(24y-1)-2(24y-1)


I'll let you finish up

Answer 11

wait I don't get where I get y from

Answer 12

24y^2-y factors to y(24y-1)