Question

help please!

[9.01] What is the value of the coefficient "b" when the quadratic equation y = (3x + 2)(2x − 1)is written in standard form? please explain

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Answer 1

so multiply (3x+2)(2x-1)
and i bet you are looking for the coefficient of x

Answer 2

i says coefficient of b?

Answer 3

there is no b...
ax^2+bx+c
I think they are calling b the coefficient of x

Answer 4

you need to expand (3x+2)(2x-1) by multiplying

Answer 5

how do i do that?

Answer 6

multiply?

Answer 7

have you heard of the distributive property?
(a+b)(c+d)
=a(c+d)+b(c+d)

Answer 8

how do i multipy them together? because theres two x's

Answer 9

distribute and add like terms

Answer 10

im so confused

Answer 11

example
\[(ax+b)(cx+d) \\
=ax(cx+d)+b(cx+d) \\
=ax \cdot cx + ax \cdot d+b \cdot cx +b \cdot d \\
=ac x^2+ax d+bc x+bd \\
=acx^2+(ad+bc)x+bd\\
\text{ the coefficent } \text{ of x here is } ad+bc\]

Answer 12

so... (3x+2)(2x+1)?

Answer 13

you need to first multiply

Answer 14

have you done that yet

Answer 15

you can follow my example if you want

Answer 16

im lost

Answer 17

multiply what

Answer 18

@myininaya

Answer 19

(3x+2)(2x+1)
follow what I said...
the first line of what I said is
3x(2x+1)+2(2x+1)
now use the distributive property on both like I did in my third line

Answer 20

im still lost

Answer 21

@myininaya use more simply terms you use such big words

Answer 22

distributive property?

Answer 23

this is the name of the property

Answer 24

a(b+c)=ab+ac

Answer 25

i got it. its 1

Answer 26

great