Polynomials and Equations

If the side of a square is (3x + 4y - z) cm, what is its area?

Tags

CCSS.HSA.APR.C.4

What expression must be subtracted from 3x⁴ - 2x³ + 6x² + 8x - 5 to get x⁴ + 6x³ - x² + 16x - 12?

Tags

CCSS.HSA.APR.A.1

Find the product: (m + n - 9)(m + n + 9)

Tags

CCSS.HSA.APR.A.1

Determine the degree of the polynomial x⁵ - 2x⁴ - 7x³ + 6.

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.

Tags

CCSS.HSA.APR.A.1

The perimeter of a rectangle is (8x³ + 6x² + 4x + 6) cm. Determine the length of the rectangle if its width is (3x² + 7x - 6) cm.

Which of the following is a factor of x⁴ - 29x² + 100?

Tags

CCSS.HSA.APR.B.2

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

Tags

CCSS.HSA.APR.B.2

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

Tags

CCSS.HSA.APR.B.3

How many positive real roots does x⁴ - x³ - 11x² + 9x + 18 = 0?