Question

Check my answers please?

1. Write the equation of a polynomial that has zeros at –3 and 2.
Equation: f(x) = (x+3)(x-2)
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Write each polynomial function in standard form. Then classify it by degree and by the number of terms.
2. n = 4m2 – m + 7m4
n = 4m3 + 4m – 2; cubic trinomial
n = 7m4 + 4m2 – m; quartic trinomial---Correct
n = 4m4 + 8m2 – m ; quartic trinomial
n = 3m3 + 2m – 5; cubic trinomial
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3. f(t) = 4t + 3t3 + 2t – 7
f(t) = 3t3 + 6t – 7; cubic trinomial-----Correct
f(t) = 2t3 + 4t –

Answer 1

3. f(t) = 4t + 3t3 + 2t – 7
f(t) = 3t3 + 6t – 7; cubic trinomial-----Correct
f(t) = 2t3 + 4t – 1; cubic trinomial
f(t) = 5t3 + 2t – 7; cubic trinomial
f(t) = 7t3 + 3t – 4; cubic trinomial
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4. f(r) = 5r + 7 + 2r2
f(r) = 8r3 + 5r + 1; cubic trinomial
f(r) = r2 + 5r + 7; quadratic trinomial
f(r) = 2r3 + 5r + 7; cubic trinomial
f(r) = 2r2 + 5r + 7; quadratic trinomial----Correct
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For each function, determine the zeros and their multiplicity.
5. y = (x + 2)^2(x – 5)^4
–2, multiplicity 2; 5, multiplicity 4----Correct
2, multiplicity 2; 5, multiplicity 3
–2, multiplicity 4; 5, multiplicity 2
2, multiplicity 2; 7, multiplicity 4

Answer 2

6. y = (3x + 2)^3(x – 5)^5
4, multiplicity 2; 5, multiplicity 2
3, multiplicity 4; 2, multiplicity 4
-2/3, multiplicity 3; 5, multiplicity 5----Correct
2, multiplicity 3; 5, multiplicity 5
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7. y = x^2(x + 4)^3(x – 1)
2, multiplicity 2; –4, multiplicity 2; 1, multiplicity 1
0, multiplicity 2; –4, multiplicity 3; 1, multiplicity 1----Correct
3, multiplicity 4; –3, multiplicity 2; 2, multiplicity 3
0, multiplicity 2; –3, multiplicity 2; 2, multiplicity 3

Answer 3

1. Correct
2. Correct
3. Correct
4. Correct
5. Correct
6. Correct
7. Correct

You leave nothing to correct for me ;(
Congratulations!

Answer 4

Can you help me with the last three questions? :) @ZeHanz

Answer 5

They will be all correct again, I guess...

Answer 6

no, i really don't understand them ^^"

Answer 7

(x^3 + 3x^2 – x – 3) ÷ (x – 1)

Find P(–3) for P(x) = –2x^4 – 3x^3 – x + 4.

Answer 8

In the attachment, I would do a synthetic division:

4 | 2 -3 -18 -8
8 20 8
________________ +
2 5 2 0

SO it would be (x-4)(2x²+5x+2)

The first prob can also be done with synthetic division.

P(-3): just substitute x=-3: -2(-3)^4-3(-3)^3-(-3)+4=...

(I'm going to sleep now - it's 11:35 pm in Holland - got to work early tomorrow)