Interactive multiple-choice quiz: اختبار الوحدة 11 (Polynomials) الرياضيات ريفيل

Determine whether the expression 8ab - 2c is a polynomial. If it is a polynomial, find its degree and classify it as a monomial, binomial, or trinomial.

Write 5b - 10b² + 35 - b³ in standard form.

Find the sum: (5a² - 4) + (a² - 2a + 12) + (4a² - 6a + 8)

Solve the equation: -2q(4q - 9) = q(-8q + 15) - 3(-4q - 6)

Simplify the expression: 3x(5x² - x + 4)

The dimensions of the composite figure shown are given in terms of the triangle's height, h. If h = 1.42 units, what is the area of the figure? Round to the nearest hundredth, if necessary.

Find the product: (2r - 3t)³

Find and simplify an expression for the volume of the rectangular prism shown.

Find the product: (6y - 13)(6y + 13)

The square of a sum is called a perfect square trinomial. Find c that makes 25x² - 90x + c a perfect square trinomial.

A cylindrical tank is placed along a wall. A cylindrical PVC pipe will be hidden in the corner behind the tank. See the side-view diagram shown. The radius of the tank is r inches, and the radius of the PVC pipe is s inches. Use the Pythagorean Theorem to write an equation for the relationship between the two radii. Simplify your equation so that there is a zero on one side of the equal sign.

Use the Distributive Property to factor the polynomial: 4a²b² + 2a²b - 10ab²

The area of a rectangular swimming pool is given by the expression 12w - w², where w is the width of one side. Factor the expression.

Factor the polynomial: x² + 3x + x + 3

A suspension bridge is a bridge in which the deck is supported by cables with towers spaced throughout the span of the bridge. The height of a cable n inches above the deck measured at distance d in yards from the first tower is given by d² - 36d + 324. Factor the expression.

Factor each polynomial, if possible. If the polynomial cannot be factored using integers, write prime. x² - 14xy - 51y²

Find all values of k so that 2x² + kx + 12 can be factored as two binomials using integers.

If the trinomial is a perfect square trinomial, factor it. If not, write not a perfect square trinomial. 36x² - 36x + 9

Marvin saw a rug in a store that he would like to purchase. It has an area represented by the expression x² - 16x + 64 shown on the rug. He cannot remember the length and width, but he remembers that the length and the width were the same. Factor the expression that represents the area of the rug.