Answer:
answer is c
Step-by-step explanation:
i know cus i took the test
Answer:
x = -
, x = 1
Step-by-step explanation:
Given
2x - 5 = - 3x² ( add 3x² to both sides )
3x² + 2x - 5 = 0 ← in standard form
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 = 3 × - 5 = - 15 and sum = + 2
The factors are - 3 and + 5
Use these factors to split the x- term
3x² - 3x + 5x - 5 = 0 ( factor the first/second and third/fourth terms )
3x(x - 1) + 5(x - 1) = 0 ← factor out (x - 1) from each term
(x - 1)(3x + 5) = 0 ← in factored form
Equate each factor to zero and solve for x
3x + 5 = 0 ⇒ 3x = - 5 ⇒ x = - 
x - 1 = 0 ⇒ x = 1
Part 1: If the roots of a polynomial are a, b, and c, then the factors can be written in the form (x - a), (x - b), and (x - c). In this case, we have (x - 3), (x - [3 + i]), and (x - [3 - i]). The three factors are (x - 3)(x - 3 - i)(x - 3 + i).
Part 2: The two factors with complex terms are (x - 3 - i)(x - 3 + i), and multiplying these terms as a difference of two squares can give:
(x - 3)^2 - i^2 = x^2 - 6x + 9 - (-1) = x^2 - 6x + 10
Part 3: We now multiply (x^2 - 6x + 10) by the remaining factor of (x - 3). This results in the cubic expression:
(x^2 - 6x + 10)(x - 3)
= x^3 - 3x^2 - 6x^2 + 18x + 10x - 30
= x^3 - 9x^2 + 28x - 30
Answer:
The area is multiplied by 9.
Step-by-step explanation:
The original square has an area of ...
A = (4 in)² = 16 in²
The larger square has an area of ...
A = (3·4 in)² = (3²)(4²) in² = 9·16 in² . . . . . 9 times the original area
The area is multiplied by the square of the scale factor: 9.