Solving quadratics

Solving quadratics

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Multiple Choice

Write the polynomial in standard form given the following zeros. x = -2, 1, 4

• f(x) = (x+2)(x-1)(x-4)

• f(x) =x³ - 3x² - 6x + 8

• f(x) = x³ + 8

• f(x) = x³ - 3x² + 8

Multiple Choice

What are the zeros of the function in the graph?

• (-1, 0) and (1, 0)

• (0, -1) and (0, 1)

• (0, -1)

• (-1, 0) and (1, 0) and (0, -1)

Multiple Choice

Find a quadratic equation with the solutions x = 1 and x = -5.

• x^2 + 6x - 5 = 0

• x^2 - 4x + 5 = 0

• x^2 - 6x - 5 = 0

• x^2 + 4x - 5 = 0

Multiple Choice

what number do you add to complete the square

x²-20x+_______

• 10

• -10

• 100

• -100

Multiple Choice

What is the name given to the point

(0 , 7)?

• A) just a plain point

• B) root

• C) y-intercept

• D) vertex

Multiple Choice

What is the name given to the point

(4 , -9)?

• A) just a plain point

• B) root

• C) y-intercept

• D) vertex

Multiple Choice

What is the domain of the function?

• A 4 ≤ x < ∞

• B) - ∞ < x < ∞

• C) - 9 ≤ x < ∞

• D) 7 ≤ x < ∞

Multiple Choice

Does the graph represent a min/max/both/neither?

• A) Minimum

• B) Maximum

• C) Both

• D) Neither

Multiple Choice

What is the name given to the point

(1 , 0)?

• A) just a plain point

• B) root

• C) y-intercept

• D) vertex

Multiple Choice

Which of the following is NOT a synonym for x-intercept?

• Zero

• Maximum

• Root

• Solution

Multiple Choice

Decide on the best method:
2x² - 7x + 2 = 0

• Square Root Method
• Factor Method
• Complete the Square
• Quadratic Formula

Multiple Choice

Decide on the best method:
x² - 3x - 54 = 0

• Square Root Method
• Factor Method
• Complete the Square
• Quadratic Formula

Multiple Choice

Decide on the best method:
x² + 2x = -9

• Square Root Method
• Factor Method
• Complete the Square
• Quadratic Formula

Multiple Choice

Decide on the best method:

3a² + 13a = -4

• Square Root Method

• Factor Method

• Complete the Square

• Quadratic Formula

Multiple Choice

$$x^2-4x-15=0$$  

• 4, -8

• $$1\pm\sqrt{33}$$  

• $$-8\pm\sqrt{94}$$  

• $$2\pm\sqrt{19}$$  

Multiple Choice

QUESTION 2

• A
• B
• C
• D

Multiple Choice

$$2x^2-7x=10$$ Which of the following show the quadratic formula being used properly?

• $$\frac{-7\pm\sqrt{\left(7\right)^2-4\left(2\right)\left(-10\right)}}{2\left(2\right)}$$

• $$\frac{7\pm\sqrt{\left(7\right)^2-4\left(2\right)\left(-10\right)}}{2\left(2\right)}$$

• $$\frac{7\pm\sqrt{\left(7\right)^2-4\left(2\right)\left(10\right)}}{2\left(2\right)}$$

• $$\frac{10\pm\sqrt{\left(-10\right)^2-4\left(2\right)\left(7\right)}}{2\left(1\right)}$$

Multiple Choice

Solve the quadratic equation

Multiple Choice

Solve the quadratic equation

Multiple Choice

Simplify

Multiple Choice

Simplify

Multiple Choice

Which method is most efficient to solve:

8x² - 5x = 0

• Square Roots

• Greatest Common Factor

• X-Factor

• Quadratic Formula

Multiple Choice

• ±81

• ±9

• ±3

• No real solution

Multiple Choice

Solve

2x² + 17x + 21 = 0

• x= ^-21/₂, -17

• x= ²/₃, 16

• x=-7, ^-3/₂

• x=15, -³/₇

Multiple Choice

Find the zeros of this quadratic. (Solve for b.)

• b = 4/5, b = 3

• b = 4, b = -3

• b = 1/5, b = 3

• b = 4/5, b = -3

Multiple Choice

What should you do first in solving this equation?
x² + 6x - 13 = 3

• Get factored form
• Write down: a=1, b=6, c=-13
• Make it equal 0 by subtracting 3 on each side
• Type it all in a calculator.

Multiple Choice

If the discriminant is negative, then the quadratic has:

• 1 Real Solution

• 2 Real Solutions

• Half a Solution

• No Real Solutions