Quiz about California High School Polynomials

Question 1

Simplify: $$\left(8x^3\right)\left(-7x^4y^3\right)$$

Accepted Answer

$$-56x^7y^3$$

Answer

$$\frac{8x^3}{7x^4y^3}$$

Answer

Answer

$$\frac{8}{7xy^3}$$

Question 2

Simplify. $$\left(\frac{2a^3}{b^{-2}}\right)^5$$

Accepted Answer

$$32a^{15}b^{10}$$

Answer

$$\frac{32a^8}{b^3}$$

Answer

$$10a^{15}b^{10}$$

Answer

$$\frac{10a^{15}}{b^{10}}$$

Question 3

Simplify: (3x² + 4x - 2) - (5x + 7)

Accepted Answer

3x² - x - 9

Answer

2x2 - 9

Answer

3x² + 9x - 5

Answer

3x² - x + 5

Question 4

Simplify: (5x+2)(x²-3x+6)

Accepted Answer

5x³ - 13x² + 24x +12

Answer

5x³- 17x²+24x +12

Answer

5x³+ 17x² - 24x +12

Answer

5x³ +13x² - 24x - 12

Question 5

When setting up this synthetic division, what polynomial is being divided?

Accepted Answer

2x⁴ + 3x² - x + 2

Answer

2x⁴ + 3x³ - x² + 2

Answer

2x⁴ - 3x² + x - 2

Answer

cannot be determined

Question 6

If (x + 3) divides a polynomial function evenly, then which of these is known to be a zero of the polynomial?

Accepted Answer

x = -3

Answer

x = 3

Answer

x = 0

Answer

cannot be determined

Question 7

Which of these is in Standard Form?

Accepted Answer

$$2x^4-12x^2+5x-9$$

Accepted Answer

$$5x^5+4x^{ ext{4}}+12x^3-23x+15$$

Answer

$$4x^2+12x-13x^3$$

Answer

Question 8

What is the degree?

Accepted Answer

Odd

Answer

Positive

Answer

Negative

Answer

Even

Question 9

What is the degree?

Accepted Answer

Even

Answer

Positive

Answer

Negative

Answer

Odd

Question 10

What is the leading coefficient?

Accepted Answer

Negative

Answer

Positive

Answer

Odd

Answer

Even

Question 11

Factor: k⁴ - 10k² - 39

Accepted Answer

(k² - 13)(k² + 3)

Answer

(k - 13)(k + 3)

Answer

(k² + 15)(k² - 3)

Answer

(k + 13)(k - 3)

Question 12

Factor: 216x³+125

Accepted Answer

(6x+5)(36x²-30x+25)

Answer

6(x+5)3

Answer

(6x+5)3

Answer

(6x+5)(6x²-30x+25)

Question 13

Factor: 3x³-x²+6x-2

Accepted Answer

(x²+2)(3x-1)

Answer

(x²+2)(3x+1)

Answer

(3x³+6x)(x²-2)

Answer

none of the aboe

Question 14

How many zeros does the polynomial function
P(x) = 3x⁴+4x-8 have?

Accepted Answer

4

Answer

1

Answer

2

Answer

3

Question 15

How many REAL zeros does the polynomial function

P(x) = x³+2x²+9x+18 have?

Accepted Answer

1

Answer

0

Answer

2

Answer

3

Question 16

Find all zeros for the polynomial function P(x) = x³ -3x²-5x+15

Accepted Answer

$$3,\ \pm\sqrt{5}$$

Answer

$$3,\ \sqrt{5}$$

Answer

$$-3,\ \pm i\sqrt{5}$$

Answer

$$-3,\ \pm5i$$

Question 17

Find all zeros for the polynomial function $$f\left(x\right)=x^3-3x^2+12x-10$$

Accepted Answer

$$1,\ 1\pm3i$$

Answer

$$1,\ -1\pm3i$$

Answer

$$-1,-1\pm3i$$

Answer

$$-1,\ -5,\ 2$$

Question 18

Write a polynomial function with zeros of 4i and -2 in standard form.

Accepted Answer

$$f\left(x\right)=x^3+2x^2+16x+32$$

Answer

$$f\left(x\right)=x^3+2x^2-16x-32$$

Answer

$$f\left(x\right)=x^2-2x^2+16x-32$$

Answer

$$f\left(x\right)=x^2-4ix+2x-8i$$

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