Equations of Polynomials

The solutions of the quadratic equation 
x²+12x+35=0 are

• x = -5 or x = -7

• x = 5 or x = 7

• x = -35 or x = -1

• x = -9 or x = -4

What should you do first in solving this equation?
x² + 6x - 13 = 3

• Get factored form

• Write down: a=1, b=6, c=-13

• Make it equal 0 by subtracting 3 on each side

• Type it all in a calculator.

Solve
y² + y - 30 = 0

• {-6, 5}

• {-1, 30}

• {-15, 2}

• {3, 10}

Solve
x² + 9x + 8 = 0

• {8, 1}

• {4, 2}

• {9, 0}

• {-8, -1}

Give the correct name for
2x³

• Quadratic Monomial

• Quadratic Trinomial

• Linear Monomial

• Cubic Monomial

If the sum of (3x⁵ - 6x² + 8x + 5) and (3x⁴ + 7x³ - 7x² - 9x + 12) is subtracted from (3x⁵ + 8x⁴ - 8x + 15), the difference is...

The length of a rectangle is (x⁴ + 3X³ - 7X² + 12X - 10) cm and its width is (x³ - 3x² + 15) cm. Find the perimeter of the rectangle.

Determine the difference of (8x³ - 3x² + 4x - 5) and (5x³ + 2x² - 6x + 7).

If (x + 1) and (x + 3) are two factors of x³ - x² - 17x - 15, find the other one.

Find the cubic polynomial equation with roots -2, 2, and 4.