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- Subtract. (5x* + 6x° - 2) - (3x - 5x +7) (5x* + 6x° - 2) – (3x2 - 5x +7)=D (Simplify your answer.)B. MULTIPLE CHOICE, Directions: Read and analyze each item carefully, Encircle the letter of the correct answer. 5. Which of the following is a quadratic equation? A. 3x+5-0 B. +4x-12-0 C. x-3x +4x -5 0-1- 6. What kind of roots does the equation -10x+ 25-0 have? A. equal and rational B. unequal and rational C. unequal and irrational D. not real 7. What is the nature of the roots of the quadratic equation 3x-x-6-0 A. equal and rational B. unequal and rational C. unequal and irrational D. not real 8. Transform the rational equation into a quadratic equation. A. x+4x +3-0 B. x-4x + 3 = 0 C.+4x-30 9. Transform the rational equation+-! into a quadratic equation. C. 2x+5x-10-0 D. 2x-5x-10-0 A. 2 + 5x + 10 0 B. 2x-5x + 10-0 10. What is the sum of the roots? B. 6 A. 8 C.-6 D.-8 11. What is the product of the roots? C.-6 D.-8 A. 8 12. Solve the given equation by extracting square roots: x-1-3 B. ± 2 C.3 D. ±4 A. 1 13. Find the roots of the equation x+9x+ 18-0. B. 3 or -6 C.-3 or 6 D.-3 or -6 A.…Subtract. (6x - 2x? + 5x- 8) - (4x° - 4x? - 3x + 2) (6x° - 2x? + 5x - 8) - (4x³ - 4x² - 3x +2) = D (Simplify your answer. Use integers or fractions for any numbers in the expression.)
- d. Find the rational zeroes: Find all zeroes. Y2 = 3x^3 – 14x^2 + 17x - 6Factor. x3 −x2− 21x + 45 (Hint Use the rational zero theorem.)Find all the rational zeros. Write the answer in exact form. 9(x) =D 2xードーSx +2x+2 3. 5x+2x+2 If there is more than one answer, separate them with commas. Select "None" if applicable. The rational zeros of q (x):| 0,0.. i ロノロ None
- write the rational exrpession in lowest term. y2-2y-15/y2-6y-27ment 10. Simplify the rational expression. State any restrictions on the variable. 2 +4t-12 2-4 t+6 ,t+2 t +2 t+6 t+2, t+-4 t +2 t +6 1#2, t+-2 t+2 t+6 ,t#2, t -2 t- 23. Simplify. State any restrictions on the variable(s). x²+x (x+1)² 4x 2х-4 2-x x²-1 4. Give an example of a rational expression with the given restrictions: x + 0, x + -,x # 5. Write the rational expression in factored form.
- A. Determine if the statement is true or false. 1. The equation 3x? = 3 has two equal roots. 2. Any quadratic equation in standard form whose left side is a perfect square trinomial has two equal rational roots. 3. All quadratic equations whose discriminant is nonnegative have two rational roots. 4. The equation x² - 5x + 4 = 0 has two distinct irrational roots. 5. A quadratic equation whose discriminant is less than zero has no real number solutions.add or subtract the rational expressions as indicated. Be sure to express your answers in simplest form. -1/(x + 4) + 4/(7x - 1)3. Simplify the rational expression and state any restrictions on the variable. g?+11g+28 g?+2g-35 A. -(g + 4) g - 5 i9 + -7, g # 5 C. g+4 9-5:9 + -7,g + -5 B. -(g + 4) D. g + 4 g - 5 ; g # 5 g + -7,g # 5 9-5