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Nina [5.8K]
2 years ago
6

Anna made an error in determining the polynomial equation of smallest degree whose roots are -4,-2, -

Mathematics
1 answer:
nalin [4]2 years ago
8 0

Answer:

See explanation

Step-by-step explanation:

Ana started the work nicely by multiplying out factors to get:\

(x+4)(x+2)(2x+1)(x-2)=0

She multiplied (x+2)(x-2) correctly using difference of two squares to get: x^2-4

Unfortunately: She made a mistake in multiplying (x+4)(2x+1) she mistakenly got x^2+9x+4 instead of 2x^2+9x+4. <em>She left out the coefficient of 2.</em>

Therefore the second step should have been:

(x^2-4)(2x^2+9x+4)

The next step will now be:

2x^4+9x^3+4x^2-8x^4-36x-16=0

This simplifies to

2x^4+9x^3-x^4-36x-16=0

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The answer is yes.

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I hope this answer helps.

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2 years ago
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According to the Rational Root Theorem, which could be a factor of the polynomial f(x) = 60x4 + 86x3 – 46x2 – 43x + 8?
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<span> If P(x) is a polynomial with integer coefficients and if is a zero of P(x) ( P( ) = 0 ), then p is a factor of the constant term of P(x) and q is a factor of the leading coefficient of P(x) .

</span><span>A. x – 6
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B. 5x – 8
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C. 6x – 1
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<span>
D. 8x + 5
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