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blagie [28]
3 years ago
14

Write a polynomial of least degree with rational coefficients, a leading coefficient of 1, and zeros at 3 and sqr root 7. Expand

your answer and write it in standard form
Mathematics
1 answer:
Tresset [83]3 years ago
6 0

Answer:

(x-3)(x^2-7) = x^3 -3x^2 -7x + 21

just change the sign of the root and put x in front of it, then multiply the factors all together

(x-3)(x-sqr7)(x+sqr7)    roots come in conjugate pairs to eliminate irrational coefficients

(x-sqr7)(x+sqr7) = x^2-7.  similar to (a-b)(a+b) = a^2-b^2

Step-by-step explanation:

You might be interested in
Angle r and 92 are supplementary angles. what equation can you use to solve for r?
Oxana [17]

Answer:

88°

Step-by-step explanation:

<h3>supplementary angle are angles that add up to 180°</h3>

r+92= 180

r= 180-92

r = 88°

5 0
2 years ago
What is the difference 1/8-3/10. A. -7/40 B.-3/40 C. 7/40 D. 17/40
mrs_skeptik [129]
The answer is A. -7/40.

1. Make sure the (the denominators) are the same
2. Subtract the  (the numerators). Put the answer over the same denominator.
<span> 3. Simplify the fraction (if needed)
</span>
6 0
3 years ago
I really need help ASAP !!
Vesnalui [34]

Answer:

Graph 1: Consistent Dependent

Graph 2: Consistent Independent

Graph 3: Consistent Dependent

Graph 4: Inconsistent

Step-by-step explanation:

Consistent means they have at least one solution.  So lines that intersect once or lines that intersect infinitely many times are both consistent systems.

If they are the system that has one solution they are considered independent.

If they are the system that has infinitely many solutions then are considered dependent.

Inconsistent means they won't intersect at all.

First graph shows the same line graphed onto itself.  That means they have infinitely many solutions and is therefore a consistent dependent system.

Second graph shows the lines intersecting once.  That means they have one solution and therefore is a consistent independent system.

Third graph shows the same description of graph one and is therefore a consistent dependent system.

The last graph shows parallel lines. Parallel lines do not intersect and therefore do not have a solution.  So this system is inconsistent.

7 0
3 years ago
What are the rules for these problems?
Rudiy27
The answer to number 3 is -12 because you would do X times 4 and then add 8

the answer to number 4 is 46 because you would do X times 3 and then add 7
4 0
3 years ago
Answer choices:<br> 3<br> 2 sq root 3<br> 3 sq root 3<br> 6<br> 9
Vlada [557]

Answer:

third

Step-by-step explanation:

hope it helped!!!

3 0
3 years ago
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