Use the remainder theorem: we can decompose the given polynomial in terms of quotient and remainder polynomials $q(x)$ and $r(x)$ , respectively, such that

$x^4 - 5x^3 + x^2 - 10x - 5 = (x + 3) q(x) + r(x)$

Then letting x = -3 makes the quotient term vanish, and we're left with a remainder of

$r(-3) = (-3)^4 - 5\times(-3)^4 + (-3)^2 - 10\times(-3) - 5 = \boxed{250}$

3 0

2 years ago

7k = 3k - 36<br> It’s gotta be a step by step equation

vovikov84 [41]

K=-9 Bc you move the variable to the left and then collect like terms and divide both sides

8 0

2 years ago

Student answers 90% of the questions on the math exam correctly if she answers 27 questions correctly how many questions are on

liubo4ka [24]

Answer:

30 questions

Step-by-step explanation:

if you cross multiply and divide like this,

$\frac{27}{x}= \frac{90}{100}$

27 x 100 = 2700

2700 / 90 = 30

you'll get ; 30 !

4 0

2 years ago

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