(x-8)(x+5)
First thing you do is put the X's into the parentheticals because it is x^2 meaning there are 2 factors with x's. Then, you wonder what factors of -40 could add to get -3. In this case, they are -8 and 5. -8 times 5 is -40 and -8 +5 is -3. Then, you just add -8 and 5 beside the x's in the parentheticals.
Answer:
Line M - neither
Line N - parallel
Line P - perpendicular
Line Q - neither
Step-by-step explanation:
If a line is perpendicular to another, the slope will be the opposite, e.g. -6, opposite slope, -6.
If a line is parallel to another, the slope will be the exact same, e.g. -6, same slope, 1/6.
Answer:
(-0.5,-2.5)
Step-by-step explanation:
- (x1 + x2) / 2 = x midpoint
- (y1 + y2) / 2 = y midpoint
<h3>X:</h3>
⇒ 2 + -3 = 5
⇒ 5 / 2 = -0.5
<h3>Y:</h3>
⇒ 4 + -9 = -5
⇒ -5 / 2 = -2.5
→ = (-0.5, -2.5)
Answer:
<em>f(x) = x² (2+i)x-15-3i</em>
Step-by-step explanation:
Since the zeros of the equation are -3 and 5+i, hence the factors of the polynomial in x is (x+3) and (x-(5+i))
Multiplying both factors
f(x) = (x+3)(x-(5+i))
f(x) = (x²-(5+i)x+3x -3(5+i))
f(x) = x² - (5+i- 3)x -15-3i
f(x) = x² (2+i)x-15-3i
<em>hence the required polynomial function in x is f(x) = x² (2+i)x-15-3i</em>
