Question

find the factorization of the polynomial below. Enter each factor as a polynomial in descending order.

3x^2 + 7x + 2
This one confuses me.

Answer 1

(3x+1)(x+2)

Answer 2

Why is that though? I thought you had to make it equal to 7? or does it not matter?

Answer 3

3x*2+x*1=6x+x=7x

Answer 4

jahtoday is quite correct.. and you can check by using the FOIL method to multiply it out (3x+1)(x+2)=3x^2+7x+2

Answer 5

Yes kenzie, using his numbers, they do add up to 7x

Answer 6

if you have ax^2+bx+c, then all you have to do is find the factors of a*c that have product a*c and that add up to be b.
a=3, b=7, c=2
a*c=3*2=6*1
b=7=6+1
so replace the bx=7x with 6x+1x
3x^2+7x+2
3x^2+6x+1x+2
and then factor by grouping
3x(x+2)+1(x+2)
(x+2)(3x+1)

Answer 7

It's tricky because this one adds a co-efficient to x^2 you'll have to pay mind to

Answer 8

Which of the following polynomials does not have real roots?
A.12x2 - 17x - 7
B.x4 + 5x2 + 6
C.2x4 + 13x3 + 21x2
D.x2 + x - 2

Answer 9

A

Answer 10

How many roots does y = x2 - 6x + 9 have? It may help to graph the equation

Answer 11

x^2