3 years ago

What is 535 divided by 30 with a remainder?

Mathematics

1 answer:

chubhunter [2.5K]3 years ago

3 0

Answer:

17 with the remainder of 25

Step-by-step explanation:

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Given P(x) = 2x3 - 11x2 + 18x - 15 is divided by x – 3. Use synthetic division to find the quotient and the remainder.

katrin [286]

You can find the remainder right away by simply plugging in $x=3$ . The polynomial remainder theorem guarantees that the value of $p(3)$ is the remainder upon dividing $p(x)$ by $x-3$ , but I digress...

Synthetic division yields

3   |   2   -11   18   -15
.    |           6   -15     9
- - - - - - - - - - - - - - - - -
.    |   2     -5     3     -6

which translates to

$\dfrac{2x^3-11x^2+18x-15}{x-3}=2x^2-5x+3-\dfrac6{x-3}$

(and note that $p(3)=2(3)^3-11(3)^2+18(3)-15=-6$ , as expected)

5 0

2 years ago

75 000 in standard form

tatiyna

Answer:

7.5×10^4

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Hope this helps <3

7 0

2 years ago

Read 2 more answers

What is the answer to. Write a polynomial equation with integer coefficients that has the given roots, x=7 and x=-5

rewona [7]

$\bf \begin{cases}
x=7\implies &x-7=0\\
x=-5\implies &x+5=0
\end{cases}\implies (x-7)(x+5)=\stackrel{original}{polynomial}
\\\\\\
x^2-2x-35=y\implies 1x^2-2x-35=y$