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ehidna [41]
3 years ago
8

Find K if 4 x square - 2 X square + kx + 5 leaves a remainder -10 when divided by 2x+1​

Mathematics
1 answer:
ella [17]3 years ago
8 0

Answer:

k = 31

Step-by-step explanation:

Given

f(x) = 4x^2 - 2x^2 + kx + 5

r = -10 --- remainder

d = 2x + 1 --- divisor

Required

Find k

We have:

d = 2x + 1 --- divisor

Equate to 0

2x + 1 = 0

Solve for x

2x = -1

x  =-0.5

This means that:

f(-0.5)=-10

So, we have:

4*(-0.5)^2 - 2*(-0.5)^2 + k*-0.5 + 5 =-10

0.5 -0.5k + 5 =-10

Collect like terms

-0.5k=-10-5-0.5

-0.5k=-15.5

Solve for k

k = -15.5/-0.5

k = 31

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Answer:

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Step-by-step explanation:

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If you have to find the zero of an equation like f(x)=-2x^2 - 5x + 7 then you would have to factor the equation.

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