SOLUTION: I need help asap with the following much appreciated.
Find all the zeros of the polynomial function by graphing on the calculator to narrow down the real solutions, then use synth
Algebra ->
Polynomials-and-rational-expressions
-> SOLUTION: I need help asap with the following much appreciated.
Find all the zeros of the polynomial function by graphing on the calculator to narrow down the real solutions, then use synth
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Question 1172358: I need help asap with the following much appreciated.
Find all the zeros of the polynomial function by graphing on the calculator to narrow down the real solutions, then use synthetic division until you get a quadratic to solve. Solve the quadratic equation to complete the list of zeros.
7. h(x) = x^3 − 3x^2 − x + 3
8. f(x) = x^4 − 4x^3 − 20x^2 + 48x
9. g(x) = x^3 + 5x^2 + x + 5
You can put this solution on YOUR website! Find all the zeros of the polynomial function by graphing on the calculator to narrow down the real solutions, then use synthetic division until you get a quadratic to solve. Solve the quadratic equation to complete the list of zeros.
7. h(x) = x^3 − 3x^2 − x + 3
8. f(x) = x^4 − 4x^3 − 20x^2 + 48x
9. g(x) = x^3 + 5x^2 + x + 5
10. g(x) = x^4 − 9x^3 + 23x^2 − 81x + 126
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You can put this solution on YOUR website! x^3-3x^2-x+3=h(x)
x^2(x-3)-(x-3)=h(x)
=(x^2-1)(x-3)=(x+1)(x-1)(x-3)
zeros are -1, 1, 3
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factor out an x
x(x^3-4x^2-20x+48)
2 is a root.
1--- -2---- -24----0
(x^2-2x-24)(x-2)(x)
factors are (x-6)(x+4)(x-2)*(x)
roots are -4,0,2,6
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factor by grouping into (x^3+5x^2)+(x+5)
(x^2+1)(x+5) with only zero at x= -5.
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graph
roots are 2 and 7