2. a) Give 3 different reasons why the following graph cannot be the the graph of the polynomial with equation p(x) = x* – x² +1. p(x)
2. a) Give 3 different reasons why the following graph cannot be the the graph of the polynomial with equation p(x) = x* – x² +1. p(x)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.2: Transformations Of Quadratic Functions
Problem 50PFA
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Question
![2. a) Give 3 different reasons why the following graph cannot be the the graph of the
polynomial with equation p(x) = x' – x² +1.
p(x)
Figure 6
b) Given the polynomial f(x) = 2x – 9x² – 11x+30.
i)
Show, by using the factor theorem, that (x-5),(2x-3) and (x+ 2) are the
factors of f(x).
ii)
Given that the product of three linear factors of f(x) is (x-5)(2x-3)(x+ 2).
Sketch the graph of f(x). The sketch must include the coordinates of all the
points where the graph meets the coordinate axes.
iii)
Find the x coordinates of the points where the line with equation y= 7x+30
meets the graph of f(x).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F036797aa-ef09-4066-a80b-3cef5cce9b17%2Fc56ac2b2-4bfd-42b6-a0b5-76dcb7f02563%2Ftmu7nee_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. a) Give 3 different reasons why the following graph cannot be the the graph of the
polynomial with equation p(x) = x' – x² +1.
p(x)
Figure 6
b) Given the polynomial f(x) = 2x – 9x² – 11x+30.
i)
Show, by using the factor theorem, that (x-5),(2x-3) and (x+ 2) are the
factors of f(x).
ii)
Given that the product of three linear factors of f(x) is (x-5)(2x-3)(x+ 2).
Sketch the graph of f(x). The sketch must include the coordinates of all the
points where the graph meets the coordinate axes.
iii)
Find the x coordinates of the points where the line with equation y= 7x+30
meets the graph of f(x).
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