Answer:q = - 9 and r = - 10
Step-by-step explanation:
since g(x) is divided by (x - 1) with remainder - 12, then (1) = 4(1)³ + q(1)² + r + 3 = - 12, that is 4 + q + r + 3 = - 12
q + r + 7 = - 12 ( subtract 7 from both sides )
q + r = - 19 → (1)
Since (x - 3) is a factor of g(x), then
g(3) = 4(3)³ + q(3)² + 3r + 3 = 0, that is
108 + 9q + 3r + 3 = 0
9q + 3r + 111 = 0 ( subtract 111 from both sides )
9q + 3r = - 111 → (2)
The 2 equations to be solved simultaneously are (1) and (2)
Multiply (1) by - 3
- 3q - 3r = 57 → (3)
Add (2) and (3) term by term to eliminate r
6q = - 54 ( divide both sides by 6 )
q = - 9
Substitute q = - 9 into (1)
- 9 + r = - 19 ( add 9 to both sides )
r = - 10
Hope the helps!!! ❤️
Answer:
The answer is
<h2>3x - 10</h2>
Step-by-step explanation:
(5x - 3) - (2x + 7).
<u>Remove the brackets</u>
That's
5x - 3 - 2x - 7
<u>Group like terms and simplify</u>
That's
5x - 2x - 3 - 7
We have the final answer as
<h3>3x - 10</h3>
Hope this helps you
Answer:
The graph of a quadratic function is a curve called a parabola which makes a quadratic function unique.
Step-by-step explanation:
Parabolas may open upward or downward and vary in "width" or "steepness", but they all have the same basic "U" shape which makes it easy to identify.
Hope it helps.
Answer:
B.
Step-by-step explanation:
The function above the x-axis looks like a parabola, so it must have an x^2 term. It also has an open circle, so it must have a > symbol.
The function below the x-axis has a closed circle, so it must have a <= symbol. It is also a 3rd degree polynomial.
Answer: B.
