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olga_2 [115]
3 years ago
9

Determine which expressions are polynomials. Explain your reasoning.

Mathematics
1 answer:
Tom [10]3 years ago
8 0

Answer:

A, B

Step-by-step explanation:

A polynomial is an expression containing two or more algebraic terms. They are often the sum of several terms containing different powers (exponents) of variables and never contains square roots or division by a variable.

In your case, option A contains two terms that with second and first power of x. Therefore, the expression in A is a polynomial. Option B contains three  terms that with second, first power of x and coefficient. This is a polynomial too. Option C represents the absolute value of x and doesn't represent a polynomial.

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Find the remainder when f(x) is divided by (x - k) <br> f(x) = 5x4 + 8x3 + 4x2 - 5x + 67; k = 2
yan [13]

It is to be solved by reminder thorem
f(x)/(x-k) will have reminder f(k), 
so, f(2) = 5*(2^4) + 8 *(2^3) +4* (2^2) -5(2) +67

             =5*16 + 8*8 +4*4 -5*2 +67
             =80 + 64 + 16 -10 +67

             = 217


8 0
2 years ago
Read 2 more answers
Which equation represents a circle with a center at (–4, 9) and a diameter of 10 units?
ale4655 [162]

Answer:

(x + 4)^2 + (y – 9)^2 = 25

Step-by-step explanation:

The standard form for a circle is

(x - h)^{2} + (y - k)^{2}  = r^{2}     where (h, k) is the center and r is the radius

In your case, h = -4 and k = 9 and r = 5

So, (x + 4)^2 + (y – 9)^2 = 25

7 0
3 years ago
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Question 2
SCORPION-xisa [38]
Where are the choices
4 0
2 years ago
A triangular bandana has an area of 46 square inches. The height of the triangle is 5 3 4 inches. Enter and solve an equation to
shutvik [7]

Answer: 16 inches

Step-by-step explanation:

The area of a triangle = bh/2

where b = base = unknown

h = height = 5 3/4 inches

Area = 46 inches²

Therefore, 46 = base × 5 3/4 / 2

Cross multiply

46 × 2 = base × 5 3/4

92 = base × 5 3/4

Base = 92 ÷ 5 3/4

Base = 92 ÷ 23/4

Base = 92 × 4/23

Base = 4 × 4

Base = 16 inches

8 0
2 years ago
What is the second law of exponents
Vlad1618 [11]

Answer:

When we divide powers of the same base, this means that we have to do is subtract the exponents. ... In other words, all we would need is to divide two powers that have the same exponent then the subtraction would lead to zero

8 0
2 years ago
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