## jacksonjrrodney 2 years ago Alg 2 help Use the Rational Root Theorem to list all possible rational roots of 3x3 + x2 – 15x – 5 = 0. Then find any actual rational roots. Find the roots of 10x4 + x3 + 7x2 + x – 3 = 0 A polynomial equation with rational coefficients has the roots Sq rt of 7 and –5i. Find two additional roots Find a third-degree polynomial equation with integer coefficients that has the roots 8 and 3i.

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1. swe100

The rational root theorem states that any rational root of a polynomial will be of the form p/q, where p is a factor of the constant term and q is a factor of the leading coefficient. The leading coefficient is 10, so the factors are -10, -5, -2, -1, 1, 2, 5, and 10. The constant term is -3, so the factors are -3, -1, 1, and 3. The possible rational roots are -3/10, -1/10, -3/5, -1/5, -3/2, -1/2, -3/1, -1/1, 1/1, 3/1, 1/2, 3/2, 1/5, 3/5, 1/10, and 3/10.

2. jacksonjrrodney

can you be more clear i still dont know the answer

3. swe100

I listed a big list of fractions at the end, those are all the possible roots from the rational root theorem. (I know, it's a big list)

4. swe100

Oh oops I found the roots of the wrong equation

5. swe100

The leading coefficient is 3 and the constant term is -5, so the roots are -5/3, -5/1, -1/1, 1/1, 5/1, and 5/3

6. jacksonjrrodney

which number is this, one right?

7. jacksonjrrodney

@sauravshakya do you understand this??

8. precal

you should post your questions one at a time because it will be confusing for you to understand our postings

9. julliemyers

what unit and lesson?

10. jacksonjrrodney

Theorems About Roots of Polynomial Equations

11. julliemyers

1. Use the Rational Root Theorem to list all possible rational roots of the polynomial equation x3 – x2 – x – 3 = 0. Do not find the actual roots. (1 point) (1 pt) –3, –1, 1, 3 (0 pts) 1, 3 (0 pts) –33 (0 pts) no roots 1 /1 point This item has been reviewed and is scheduled to be updated. All students will receive full credit for any response to the following. 2. Find the roots of the polynomial equation. 2x3 + 2x2 – 19x + 20 = 0 (1 point) (1 pt) , , –4 (1 pt) , , 4 (1 pt) , , –4 (1 pt) , , 4 1 /1 point 3. A cubic polynomial with rational coefficients has the roots 6 +and . Find one additional root. (1 point) (0 pts) –6 – (0 pts) 6 + (0 pts) –6 + (1 pt) 6 – 0 /1 point 4. Find a third-degree polynomial equation with rational coefficients that has roots –4 and 6 + i. (1 point) (1 pt) x3 – 8x2 – 11x + 148 = 0 (0 pts) x3 – 8x2 – 12x + 37 = 0 (0 pts) x3 – 12x2 + 37x = 0 (0 pts) x3 – 8x2 – 11x = 0 1 /1 point 5. What does Descartes's Rule of Signs tell you about the real roots of the polynomial? –2x3 + 3x2 – 5x – 2 = 0 (1 point) (0 pts) There is one positive root and either 2 or 0 negative roots. (0 pts) There are either 2 or 0 positive roots and there are either 2 or 0 negative roots. (0 pts) There is one positive root and one negative root. (1 pt) There are either 2 or 0 positive roots and one negative root. 0 /1 point

12. jacksonjrrodney

no i think its unit 6 lesson 5 it only has four questions

13. julliemyers

1. What is the solution of the equation? –9 = –7 (1 point) (1 pt) –6 (0 pts) 4 (0 pts) 14 (0 pts) –8 1 /1 point 2. What is the solution of the equation? – 5 = 59 (1 point) (1 pt) –5, 11 (0 pts) 5 (0 pts) 11 (0 pts) –11 1 /1 point 3. The area of a circular trampoline is 108.94 square feet. What is the radius of the trampoline? Round to the nearest hundredth. (1 point) (0 pts) 10.44 feet (1 pt) 5.89 feet (0 pts) 34.68 feet (0 pts) 3.32 feet 1 /1 point 4. What is the solution of the equation? 5x = (1 point) (0 pts) –1 (0 pts) 1 and (1 pt) 1 (0 pts) 1 /1 point 5. What is the solution of – = 5 ? (1 point) (0 pts) x = 0 (0 pts) x = 16 and x = 0 (1 pt) x = 16 (0 pts) x = 16 and x = 1 1 /1 point

14. jacksonjrrodney

lol its the same questions as the questions listed

15. julliemyers

hhmmm idk, i cant find em

16. jacksonjrrodney

its ok thank you