Name:__________ warm-up 5-1

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Presentation transcript:

Name:__________ warm-up 5-1 Find the number of seconds it will take an object to land on the ground if it is dropped from a height of 300 feet, assuming there is no air resistance. Use the equation h(t) = –16t 2 + h0, where h(t) is the height of the object in feet at the time t, t is the time in seconds, and h0 is the initial height in feet. Round to the nearest tenth, if necessary. A. 16.9 s B. 12.6 s C. 7.4 s D. 4.3 s

Details of the Day Activities: EQ: How do polynomials functions model real world problems and their solutions? I will be able to… Activities: Warm-up Notes: 5-1 Operations on Polynomials Test – Chapter 4 (40 mins) Class work/ HW Vocabulary: simplify degree of a polynomial Multiply, divide, and simplify monomials and expressions involving powers. . Add, subtract, and multiply polynomials.

5-1 Operations on Polynomial Add*Multiply* Divide*Subtraction*Squareroot Subtraction*Squareroot + - ÷ x+ - ÷ x+ - ÷ + - ÷ x+ - ÷ x+ - ÷ + - ÷ x+ - ÷ x+ - ÷ + - ÷ x+ - ÷ x+ - ÷ + - ÷ x+ - ÷ x+ - ÷ + - ÷ x+ - ÷ x+ - ÷ + - ÷ x+ - ÷ x+ - ÷ + - ÷ x Add*Multiply* Divide*Subtraction*Squareroot Add*Multiply* Divide*Subtraction*Squareroot Add*Multiply* Divide*Subtraction*Squareroot

A Quick Review Find the number of seconds it will take an object to land on the ground if it is dropped from a height of 300 feet, assuming there is no air resistance. Use the equation h(t) = –16t 2 + h0, where h(t) is the height of the object in feet at the time t, t is the time in seconds, and h0 is the initial height in feet. Round to the nearest tenth, if necessary. A. 16.9 s B. 12.6 s C. 7.4 s D. 4.3 s

Notes and examples

Notes and examples Simplify the expression . Assume that no variable equals 0. Simplify the expression .

Notes and examples Simplify the expression. Assume that no variable equals 0. Simplify the expression . Assume that no variable equals 0. Simplify the expression . Assume that no variable equals 0

Notes and examples Determine whether this is a polynomial. If it is a polynomial, state the degree of the polynomial. . Is this a polynomial? If it is a polynomial, state the degree of the polynomial.

Notes and examples Is this a polynomial? If it is a polynomial, state the degree of the polynomial.

Notes and examples Simplify (2a3 + 5a – 7) – (a3 – 3a + 2). Simplify (4x2 – 9x + 3) + (–2x2 – 5x – 6). A. Simplify (3x2 + 2x – 3) – (4x2 + x – 5). Simplify (–3x2 – 4x + 1) – (4x2 + x – 5).

Notes and examples Find –y(4y2 + 2y – 3). Find –x(3x3 – 2x + 5).

Notes and examples E-SALES A small online retailer estimates that the cost, in dollars, associated with selling x units of a particular product is given by the expression 0.001x 2 + 5x + 500. The revenue from selling x units is given by 10x. Write a polynomial to represent the profits generated by the product if profit = revenue – cost.

Notes and examples Find (a2 + 3a – 4)(a + 2). Find (x2 + 3x – 2)(x + 4).