Math, asked by kristinaromero123, 7 months ago

Use the Factor Theorem to verify that each linear binomial is a factor of the given
polynomial. Then use synthetic division to write the polynomial as a product.​

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Answered by venkatachalapathypon
1

I hope this answer helpful to you

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Answered by bson
1

Step-by-step explanation:

factor theorem: (x-a) is a factor of f(x) only if the remainder f(a)=0

P(2)=2⁴-2×2³+5×2²-9×2-2 = 16-16+20-18-2 =0

hence (x-2) is a factor of P(x)

synthetic division:

1 -2 5 -9 -2

x=2 0 2 0 10 2

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1 0 5 1 (0)

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quotient = x³+0x²+5x+1 =x³+5x+1

P(x) = (x-2)(x³+5x+1)

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