MATHEMATICS HIGH SCHOOL

Which of the following is a polynomial with roots 4, −5, and 7?Question 4 options:

1) f(x) = x3 − 6x2 − 27x + 140
2) f(x) = x3 − 6x2 − 20x + 27
3) f(x) = x3 − 20x2 − 27x + 35
4) f(x) = x3 − 20x2 − 35x + 140

Answers

Answer 1
Answer: If x = 4, then the factor is (x - 4); if x = -5, then the factor is (x + 5); if x = 7, then the factor is (x - 7).  We need to FOIL all these together to get a third degree polynomial.  (x - 4)(x + 5) = (x^2 + x - 20).  Now multiply that by (x- 7):  (x^2+x-20)(x-7) = x^3+x^2-20x-7x^2-7x+140.  Combine like terms to get  x^3-6x^2-27x+140,  the first choice above.
Answer 2
Answer:

Answer: 1) f(x) = x3 − 6x2 − 27x + 140

Which of the following is a polynomial with roots 4, −5, and 7?

Question 4 options:

1) f(x) = x3 − 6x2 − 27x + 140

2) f(x) = x3 − 6x2 − 20x + 27

3) f(x) = x3 − 20x2 − 27x + 35

4) f(x) = x3 − 20x2 − 35x + 140

Step-by-step explanation:

I just did the assignment and the correct answer was 1). f(x) = x3 − 6x2 − 27x + 140. Hope this helps.

Good Luck!!

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Answers

Answer:

The  answer  is  36 x⁴ y⁴

Step-by-step explanation:

Circle Q has the central angle ∠AQB with a measure of 55°. Which of the following option is not true? AB is a minor arc
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Answers

Answer with explanation:

It is given about a Circle centered at Q, having measure of Central Angle AQB  =55°

(A). Which says that AB is minor arc.Because of measure of central angle is , 0°<Central Angle <180°.

(B). The Measure of arc AB ≠110°, Since ,∠AQB=55°, Nor Reflex (∠AQB)≠110°.

(C). Yes, it is true statement , that center of this circle is at point Q.

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Which of the following represents the prime factorization of 72?

Answers

If you would like to write the prime factorization of 72, you can do this using the following steps:

72 / 2 = 36
36 / 2 = 18
18 / 2 = 9
9 / 3 = 3
3 / 3 = 1

72 = 2 * 2 * 2 * 3 * 3 = 2^3 * 3^2

The correct result would be 2 * 2 * 2 * 3 * 3.

Answer:

2^3 3^2

Step-by-step explanation:

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Answers

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Answers

Answer:

Step-by-step explanation:

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