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attashe74 [19]
3 years ago
8

If (x + 1) is a factor of 2x - kx²-8x + 5, find the value of k.[ Using Factor Theorem ]​

Mathematics
1 answer:
Alla [95]3 years ago
7 0

Answer:

k = 11

Step-by-step explanation:

What the factor theorem is telling us is that if x + 1 is a factor of 2x - kx²-8x + 5 then when x = - 1 is put into the equation, the result will be 0. That's because x +1 = 0 when x  = - 1

f(-1) = 2(-1) - k(-1)^2 - 8(-1) + 5

f(-1) = -2 - k(1) + 8 + 5 = 0

-k*(1) + 11 = 0

-k = -11

k = 11

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A trapezoid is 14 centimeters high and has bases that measure 13.5 centimeters and 27.5 centimeters. What is the area of the tra
Alexxandr [17]
Hello!

We can find the area of the trapezoid using the formula for area of a trapezoid:

FORMULA: 

A = [(b + b) * h / 2]

SUBSTITUTE: 

A = [(13.5 + 27.5) * 14 / 2]

SOLVE: 

A = 41 * 14 / 2

A = 574 / 2 

A = 287 cm²

So, the area of the trapezoid is 287 cm².


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