Write a polynomial function in standard form with the given zeroes X=-5,-5,1

asked May 12, 2015 157k views

2 votes

Write a polynomial function in standard form with the given zeroes
X=-5,-5,1

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4 votes

$(x+5)^2(x-1)=\\ (x^2+10x+25)(x-1)=\\ x^3-x^2+10x^2-10x+25x-25=\\ x^3+9x^2+15x-25$

6.8k points

5 votes

f(x)=(x+5)²(x-1)

=(x-1)(x²+10x+25)

=x²(x-1)+10x(x-1)+25(x-1)

=x³-x²+10x²-10x+25x-25

=x³+9x²+15x-25

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