Use the technique described in Exercises 87–90 to solve each inequality. Write the solution set in interval notation. x² - 9x + 20 < 0

Use the technique described in Exercises 87–90 to solve each inequality. Write the solution set in interval notation. 2x² - 9x ≥ 18

Use the technique described in Exercises 87–90 to solve each inequality. Write the solution set in interval notation. 3x² + x ≥ 4

Use the technique described in Exercises 87–90 to solve each inequality. Write the solution set in interval notation. -x² + 4x + 1 ≥ 0

Use the technique described in Exercises 87–90 to solve each inequality. Write the solution set in interval notation. -x² + 2x + 6 > 0

Use synthetic division to perform each division. (x³ + 3x² +11x + 9) / x+1

Use synthetic division to perform each division. (5x⁴ +5x³ + 2x² - x-3) / x+1

Use synthetic division to perform each division. (x⁴ + 4x³ + 2x² + 9x+4) / x+4

Use synthetic division to perform each division. (x⁵ + 3x⁴ + 2x³ + 2x² + 3x+1) / x+2

Use synthetic division to perform each division. (-9x³ + 8x² - 7x+2) / x-2

Use synthetic division to perform each division. $\frac{\frac{1}{3}{x}^3-\frac{2}{9}{x}^2+\frac{2}{27}x-\frac{1}{81}}{x-\frac{1}{3}}$

Use synthetic division to perform each division. (x⁴ - 3x³ - 4x² + 12x) / x-2

Use synthetic division to perform each division. (x³ - 1) / (x-1)

Use synthetic division to perform each division. x⁴-1 / x-1

Use synthetic division to perform each division. x⁷+1 / x+1

Use synthetic division to divide ƒ(x) by x-k for the given value of k. Then express ƒ(x) in the form ƒ(x) = (x-k) q(x) + r. ƒ(x) = 2x³ + 3x² - 16x+10; k = -4

Use synthetic division to divide ƒ(x) by x-k for the given value of k. Then express ƒ(x) in the form ƒ(x) = (x-k) q(x) + r. ƒ(x) = 3x⁴ + 4x³ - 10x² + 15; k = -1

For each polynomial function, use the remainder theorem to find ƒ(k). ƒ(x) = x² + 5x+6; k = -2

For each polynomial function, use the remainder theorem to find ƒ(k). ƒ(x) = 2x² - 3x-3; k = 2

For each polynomial function, use the remainder theorem to find ƒ(k). ƒ(x) = - x³ + 8x² + 63; k=4

For each polynomial function, use the remainder theorem to find ƒ(k). ƒ(x) = x³ - 4x² + 2x+1; k = -1

For each polynomial function, use the remainder theorem to find ƒ(k). ƒ(x) = x² - 5x+1; k = 2+i

For each polynomial function, use the remainder theorem to find ƒ(k). ƒ(x) = x² + 4; k = 2i

For each polynomial function, use the remainder theorem to find ƒ(k). ƒ(x) = 2x⁵ - 10x³ - 19x² - 50; k=3

For each polynomial function, use the remainder theorem to find ƒ(k). ƒ(x) = 6x⁴ + x³ - 8x² + 5x+6; k=1/2

Use synthetic division to determine whether the given number k is a zero of the polynomial function. If it is not, give the value of ƒ(k). ƒ(x) = x² +2x -8; k=2

Use synthetic division to determine whether the given number k is a zero of the polynomial function. If it is not, give the value of ƒ(k). ƒ(x) = x³ - 3x² + 4x -4; k=2

Use synthetic division to determine whether the given number k is a zero of the polynomial function. If it is not, give the value of ƒ(k). ƒ(x) = 2x³ - 6x² -9x + 4; k=1

Use synthetic division to determine whether the given number k is a zero of the polynomial function. If it is not, give the value of ƒ(k). ƒ(x) = x³ +7x² + 10x; k=0

Use synthetic division to determine whether the given number k is a zero of the polynomial function. If it is not, give the value of ƒ(k). ƒ(x) = 5x⁴ + 2x³ -x+3; k=2/5