1. Which expression is a cubic polynomial?3x^2 - 1
x^3 - 1
x^2 - x + 3
3x^2 - x + 3

2.Which of the following binomials is a factor of x^3 + 4x^2 +x - 6?

3. If a polynomial equation p(x) = 0 has 3 + 4i as a solution, what other solutions must it have?

Answers

Answer 1

Answer: 1. A cubic polynomial is a polynomial of degree 3 (the degree of a polynomial is the highest degree among al terms), then the cubic polynomial is $x^3- 1$ .

2. The polynomial $x^3 + 4x^2 +x - 6$ has root x=1, then $x^3 + 4x^2 +x - 6=(x-1)(x^2+5x+6)=(x-1)(x+2)(x+3)$ .

3. If a polynomial equation p(x) = 0 has 3 + 4i as a solution and has real coefficients, then 3-4i is also a solution.

Answer 2

Answer:

Answer:

1. x^3 - 1

2. P(x) = (x + 5)(x + 2)(x)

3. x + 2

4. 3 - 4i

Step-by-step explanation:

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The quotient of 9 times an unknown number and 16 is 81.

Answers

Represent the unknown number with x
9x / 16 = 81
Multiply both sides by 16
9x = 1296
Divide both sides by 9
x = 144

The rate of electricity charge up to 20 units is Rs 3 per unit and Rs 7 per unit from 21 to 30 units. If a family paid the bill of Rs 166 with Rs 50 service charge, how many units of electricity was consumed in the month?

Answers

Answer:

28units consumed in month

Step-by-step explanation:

20unit=20×3=60rs

now service charge +60rs=110

similary total paid=166

now 166-110=56

and 56/7=8unit

since total unit=28unit

What is A2 – (B + C) in simplest form?A=8x2 – 25x + 7
B=8x2– 25x + 11
C=10x2 – 25x + 7
D=10x2 – 25x + 11

A, B, and C are polynomials, where:
A = 3x – 4
B = x + 7
C = x2 + 2

Answers

A2 - (B + C) = (3x - 4)2 - ((x + 7)+ (x2 + 2))
A2 - (B + C) = 9x2 - 24x + 16 - (x2 + x + 9)
A2 - (B + C) = 9x2 - 24x + 16 - x2 - x - 9
A2 - (B + C) = 8x2 - 25x + 7

So, the answer is
A:
8x2 – 25x + 7

Answer: $8x^2 - 25x + 7$

Step-by-step explanation:

Here, $A = 3x - 4$ , $B = x + 7$ and $C = x^2 + 2$

$A^2 - (B + C)= (3x-4)^2-(x+7+x^2+2)$ ( By putting the values)

= $(3x)^2+ (4)^2- 2* 3x* 4- x- 7 - x^2 -2$ ( solving the brackets)

= $9x^2+ 16 - 24x - x- 7 - x^2 -2$

= $8x^2- 25x + 7$ ( By operating like terms)

⇒ $A^2 - (B + C) = 8x^2- 25x + 7$

Thus, Option A is correct.

Planning for the possiblity that your home might get struck by lightning and catch on fire is part of a plan for _____.

Answers

Answer:

protecting assets

Step-by-step explanation:

Answer:

Emergency

Step-by-step explanation:

Answered already

??What's the balance ??

Answers

I think the answer is A because the balance after 4 years is not on their and so we are trying to find the balance after three years. And after 3 years the balance is 805

I believe it's A.
Hope this helps.

Quick Help, Long Division
3x+2 ÷9x^2-9x-10