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Laabri

Precalculus Chapter 2 Test

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Last updated 20 days ago
13 Nsɛmmisa
4
4
4
4
6
A605
3
3
F501
5
A703
5
A703
6
F501
6
F501
0
0
G606
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1.

In a polynomial in x, the highest power of x that has a nonzero coefficient is called the of the polynomial.

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2.

A cubic function has at most real zeros.

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3.

The least number of real zeroes a quartic function can have is:

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4.

If P(x) is a polynomial with real coefficients, and a + bi is an imaginary root of the equation P(x) = 0, thenis also a root.

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5.

Give the zeros, if they exist, of$\frac{x^2 - 6x + 8}{x^2 + 4}$

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6.

Let${f(x)=2x-x}^{2}$

Evaluate and simplify for$f(3i)$

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7.

Let${f(x)=2x-x}^{2}$

Evaluate and simplify$f(x + 2)$

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8.

Find the quotient and remainder when$2x^4 - 9x^2 + 17x + 3$is divided by$x + 3$

Quotient:

Remainder:

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9.

Let$g(x)=x^{4}-2x^{3}+9x-8$

Is$x - 1$a factor of$g(x)$?

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10.

Factor the equationx^3-3{x}^{2}-4x+12=0

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11.

For$y = x^4 -5x^2 + 4$plot the roots and sketch the graph of the polynomial.

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12.

For 10 bonus points: Suppose you have 132 m of fencing with which to make two side-by-side rectangular enclosures against an existing wall. If the rectangular enclosures are adjacent and of the same depth, what is the maximum area that can be enclosed?

Input the number only as the answer in square meters.

Asemmisa {{asɛmmisaAhyɛnsode}}
13.

For 10 bonus points:

Find an equation of the line the passes through$(-4,1)$that is perpendicular to the line$3x-5y=7$