Answer:
2x(x + 3)(2x - 1)
Step-by-step explanation:
Given
4x³ + 10x² - 6x ← factor out 2x from each term
= 2x(2x² + 5x - 3) ← factor the quadratic
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 2 × - 3 = - 6 and sum = + 5
The factors are + 6 and - 1
Use these factors to split the x- term
2x² + 6x - x - 3 ( factor the first/second and third/fourth terms )
= 2x(x + 3) - 1(x + 3) ← factor out (x + 3) from each term
= (x + 3)(2x - 1)
Thus
4x³ + 10x² - 6x = 2x(x + 3)(2x - 1) ← in factored form
Answer:
B
Step-by-step explanation:
6.270,6.270, 6.026,6.26, 6.3,
Any set of numbers (x, y) for which this inequality is true is a solution.
For example, the point (1, -5) is a solution because fitting it into the inequality gives us
<u>- 5 < - 2</u> which is true.
However, the point (3, 5) wouldn't be a solution because it would give us the inequality
<u>5 < 2</u> which is not true.
