<h3>
Answer: C. (x+6) is a factor of p</h3>
Explanation:
p(-6) = 0 means that plugging x = -6 into p(x) leads to p(x) = 0.
If (x+6) was a factor of p(x), then we can say
p(x) = (x+6)q(x)
where q(x) is some other polynomial. Now let's replace x with -6
p(x) = (x+6)q(x)
p(-6) = (-6+6)q(-6)
p(-6) = 0*q(-6)
p(-6) = 0
The value of q(-6) doesn't matter as multiplying 0 with any number leads to 0.
This is all based on the special case of the remainder theorem that says "if p(k) = 0, then (x-k) is a factor of p(x)".
Here is what I got:
3,765 minutes
14 1/2 hours
3 3/4 hours
1 1/4 hours
12 hours
Hope this helps!
Answer:
4 possible ways this could happen
Step-by-step explanation:
1. $11
2. $12
3. $13
4. $14
hope this was helpful
Answer:
1 / 8 ÷ 3 = 1 / 24
3 ÷ 1 / 8 = 24
Step-by-step explanation:
1 / 8 ÷ 3
= ( 1 / 8 ) / 3
= 1 / ( 8 x 3 )
= 1 / 24
3 ÷ 1 / 8
= 3 / ( 1 / 8 )
= ( 3 x 8 ) / 1
= 24
\left[a _{3}\right] = \left[ \frac{ - b^{2}}{6}+\frac{\frac{ - b^{4}}{3}+\left( \frac{-1}{3}\,i \right) \,\sqrt{3}\,b^{4}}{2^{\frac{2}{3}}\,\sqrt[3]{\left( -1296 - 432\,b^{2} - 16\,b^{6}+\sqrt{\left( 1679616+1119744\,b^{2}+186624\,b^{4}+41472\,b^{6}+13824\,b^{8}\right) }\right) }}+\frac{\frac{ - \sqrt[3]{\left( -1296 - 432\,b^{2} - 16\,b^{6}+\sqrt{\left( 1679616+1119744\,b^{2}+186624\,b^{4}+41472\,b^{6}+13824\,b^{8}\right) }\right) }}{24}+\left( \frac{1}{24}\,i \right) \,\sqrt{3}\,\sqrt[3]{\left( -1296 - 432\,b^{2} - 16\,b^{6}+\sqrt{\left( 1679616+1119744\,b^{2}+186624\,b^{4}+41472\,b^{6}+13824\,b^{8}\right) }\right) }}{\sqrt[3]{2}}\right][a3]=⎣⎢⎢⎢⎢⎡6−b2+2323√(−1296−432b2−16b6+√(1679616+1119744b2+186624b4+41472b6+13824b8))3−b4+(3−1i)√3b4+3√224−3√(−1296−432b2−16b6+√(1679616+1119744b2+186624b4+41472b6+13824b8))+(241i)√33√(−1296−432b2−16b6+√(1679616+1119744b2+186624b4+41472b6+13824b8))⎦⎥⎥⎥⎥⎤