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hodyreva [135]
3 years ago
6

Solve for v. v + 3/8 = -1/4

Mathematics
2 answers:
Oksi-84 [34.3K]3 years ago
8 0
V = -1/4 - 3/8
v = -5/8

Answer: v = -5/8 since -5/8 + 3/8 = -1/4 is true, its your answer.
IceJOKER [234]3 years ago
6 0
<span>v + 3/8 = -1/4
</span>v =  -1/4 -  3/8 
v = - 2/8 - 3/8
v = -5/8
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Find the value of k such that x-2 is a factor of 3x³-kx²+5x+k​
Nuetrik [128]

Answer:

\displaystyle k = \frac{34}{3}

Step-by-step explanation:

We are given the polynomial:

\displaystyle P(x) = 3x^3 - kx^2 + 5x + k

And we want to determine the value of <em>k</em> such that (<em>x</em> - 2) is a factor of the polynomial.

Recall that the Factor Theorem states that a binomial (<em>x</em> - <em>a</em>) is a factor of a polynomial P(x) if and only if P(a) = 0.

Our binomial factor is (<em>x</em> - 2). Thus, <em>a</em> = 2.

Hence, by the Factor Theorem, P(2) must equal zero.

Find P(2):

\displaystyle \begin{aligned} P(2) &= 3(2)^3 - k(2)^2 + 5(2) + k \\ \\ &= 3(8) - 4k + 10 + k \\ \\ &= 34 - 3k  \end{aligned}

This must equal zero. Hence:

\displaystyle \begin{aligned} 34 - 3k &= 0 \\ \\ -3k &= -34 \\ \\ k = \frac{34}{3}  \end{aligned}

In conclusion, <em>k</em> = 34/3.

6 0
2 years ago
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