An explosion causes debris to rise vertically. The function f(t) = –1612 + 721 describes the height of the debris above the ground, f(t), in feet, t seconds after the explosion. a. Find and interpret f(2). b. Find and interpret f(4.5). c. Factor the polynomial – 1612 + 72t and write the function in factored form. d. Use the factored form of the function to find f(2) and f(4.5). Do you get the same answers as you did in parts (a) and (b)? If so, does this prove that your factorization is correct? Explain.

An explosion causes debris to rise vertically. The function f(t) = –1612 + 721 describes the height of the debris above the ground, f(t), in feet, t seconds after the explosion. a. Find and interpret f(2). b. Find and interpret f(4.5). c. Factor the polynomial – 1612 + 72t and write the function in factored form. d. Use the factored form of the function to find f(2) and f(4.5). Do you get the same answers as you did in parts (a) and (b)? If so, does this prove that your factorization is correct? Explain.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter8: Polynomials

Section8.7: Factoring Special Products

Problem 54PFA

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Similar questions

The polynomial 6x2+15xy gives the cost, in dollars, of producing a rectangular container whose top and bottom are squares with side x feet and sides of height y feet. Find the cost of producing a box with x=6 feet and y=4 feet.
For the polynomial 10x4+9y21 (a) Is it a monomial, binomial, or trinomial? (b) What is its degree?
What does it mean to say a polynomial is in factored form?

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