What is the factor of y = 4x2 +2x -30

1 answer:

5 0

What are the factors of y=4x^2 + 2x - 30?

First, divide 2 out of this expression. y = 2(2x^2 + x - 30)

One way to factor this would be to find the roots using the quadratic formula:

Since a=2, b=1 and c= -15,
-1 plus or minus sqrt(1^2-4(2)(-15)
x = -------------------------------------------------
4
-1 plus or minus sqrt(121) -1 plus or minus 11
= -------------------------------------- = ----------------------------
4 4

One such solution is -12/4, or -3. The corresponding factor is (x+3), and the other is 5/2, leading to the factor (2x-5).

Therefore, 4x^2 + 2x - 30 = y = 2(2x-5)(x+3).

You might be interested in

A certain spinner has equally sized slices. The probability of landing on a red slice is

Dmitry_Shevchenko [17]

The odds would be 1/2. Yes/no

3 0

3 years ago

If mints sell three for 25°, how many can 1 buy with a $20 bill?

just olya [345]

Answer:

240

Step-by-step explanation:

20/0.25 = 80

80 x 3 = 240

4 0

3 years ago

I need help I don’t know this help

Paraphin [41]

They're both functions because each input has exactly one output

8 0

3 years ago

Read 2 more answers

A basketball player has made 70% of his foul shots during the season. If he shoots 3 foul shots in tonight's game, what is the

yulyashka [42]

Answer:

There is a 34.3% probability that he makes all of the shots.

Step-by-step explanation:

For each foul shot that he takes during the game, there are only two possible outcomes. Either he makes it, or he misses. This means that we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$