Which statement best describes the solution to this system of equations?
1 answer:
You might be interested in
Answer:
Option C.
Step-by-step explanation:
we know that
If a system of two linear equations has an infinite number of solutions, then both equations must be identical
The given equation is
<u><em>Verify each case</em></u>
Option A. we have
apply distributive property
Compare with the given equation
Option B. we have
remove the parenthesis
Compare with the given equation
Option C. we have
apply distributive property
Compare with the given equation
therefore
This equation with the given equation form a system that has an infinite number of solutions
Option D. we have
Compare with the given equation
Answer:
P(x) = - 7x² + 12
Step-by-step explanation:
Given zeros x = 2, x = - 2, x = , x = -
Then the factors are (x - 2), (x + 2), (x - ), (x +
)
and the polynomial is the product of the factors, that is
P(x) = (x - 2)(x + 2)(x - )(x +
) ← expand in pairs using FOIL
= (x² - 4)(x² - 3) ← distribute
= - 3x² - 4x² + 12 ← collect like terms
= - 7x² + 12