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3 years ago

I need the answer asap -14p+6=-6p-2

Mathematics

2 answers:

aleksandr82 [10.1K]3 years ago

7 0

Answer:

p = 1

Step-by-step explanation:

-14p + 6 = -6p - 2

-14p = -6p - 8

-8p = -8

p = 1

dsp733 years ago

3 0

Answer,

p = 1

Explanation,

Step 1: Add 6p to both sides

−14p + 6 + 6p = −6p − 2 + 6p

−8p + 6 = −2

Step 2: Subtract 6 from both sides

−8p + 6 − 6 = −2 − 6

-8p = -8

Step 3: Divide both sides by -8

-8p/-8 = -8/-8

= 1

Hope This Helps :-)

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3 years ago

Factor the polynomial, x2 + 5x + 6

patriot [66]

Answer:

Choice b.

$x^{2} + 5\, x + 6 = (x + 3)\, (x + 2)$ .

Step-by-step explanation:

The highest power of the variable $x$ in this polynomial is $2$ . In other words, this polynomial is quadratic.

It is thus possible to apply the quadratic formula to find the "roots" of this polynomial. (A root of a polynomial is a value of the variable that would set the polynomial to $0$ .)

After finding these roots, it would be possible to factorize this polynomial using the Factor Theorem.

Apply the quadratic formula to find the two roots that would set this quadratic polynomial to $0$ . The discriminant of this polynomial is $(5^{2} - 4 \times 1 \times 6) = 1$ .

$\begin{aligned}x_{1} &= \frac{-5 + \sqrt{1}}{2\times 1} \\ &= \frac{-5 + 1}{2} \\ &= -2\end{aligned}$ .

Similarly:

$\begin{aligned}x_{2} &= \frac{-5 - \sqrt{1}}{2\times 1} \\ &= \frac{-5 - 1}{2} \\ &= -3\end{aligned}$ .

By the Factor Theorem, if $x = x_{0}$ is a root of a polynomial, then $(x - x_0)$ would be a factor of that polynomial. Note the minus sign between $x$ and $x_{0}$ .

The root $x = -2$ corresponds to the factor $(x - (-2))$ , which simplifies to $(x + 2)$ .
The root $x = -3$ corresponds to the factor $(x - (-3))$ , which simplifies to $(x + 3)$ .