Question

What are the factors of 3x^2 + 10x + 3?

(3x - 1)(x - 3)

(3x - 3)(x - 1)

(3x + 1)(x + 3)

(3x + 3)(x + 1)

Answer 1

The left hand side factors into a product with two terms:
(x+3) (3 x+1) = 0
Solve each term in the product separately.
Split into two equations:
x+3 = 0 or 3 x+1 = 0
Look at the first equation: Solve for x.
Subtract 3 from both sides:
x = -3 or 3 x+1 = 0
Look at the second equation: Isolate terms with x to the left hand side.
Subtract 1 from both sides:
x = -3 or 3 x = -1
Solve for x.
Divide both sides by 3: x = -3 or x = -1/3

Answer 2

\(\large 3x^2+10x+3\\\large =3x^2+9x+x+3\\\large =3x(x+3)+(x+3)\\\large =(x+3)(3x+1)\)

Answer 3

Thank you @JungHyunRan and @gowtham89 !

Answer 4

Which polynomial is a perfect square trinomial?

49x^2 - 28x + 16

4a^2 - 20a + 25

25b^2 - 20b - 16

16x^2 - 24x - 9

Answer 5

answer is 4a^2 - 20a + 25 since the Delta = 0

Answer 6

I figured that one out right as you sent it. Haha.

Answer 7

Which of the following is the graph of f(x) = x^2 + 3x - 4?

graph of a quadratic function with a minimum at 2, negative 9 and x intercepts at negative 1 and 5

graph of a quadratic function with a minimum at 3, negative 4 and x intercepts at 1 and 5

graph of a quadratic function with a minimum at 2.5, negative 2.4 and x intercepts at 1 and 4

graph of a quadratic function with a minimum at negative 1.5, negative 6.2 and x intercepts at 1 and negative 4

Answer 8

graph of a quadratic function with a minimum at negative 1.5, negative 6.2 and x intercepts at 1 and negative 4

Answer 9

Thank you!

Answer 10

u r welcome buddy