Introduction to the Quadratic Formula

Question 1

What are the values of the coefficients and constant term of 0 = 4 – 7x2 + x in standard form? a = b = c =

Revolt · Accepted Answer

Part 1: -7; Part 2: 1; Part 3: 4

Question 2

Which equations have a leading coefficient of 3 and a constant term of –2? Check all that apply. 0 = 3x2 + 2x – 20 = –2 – 3x2 + 30 = –3x + 3x2 – 2 0 = 3x2 + x + 20 = –1x – 2 + 3x2

Revolt · Accepted Answer

0 = 3x2 + 2x – 2; 0 = –3x + 3x2 – 2; 0 = –1x – 2 + 3x2

Question 3

Which operation is performed in the derivation of the quadratic formula moving from Step 6 to Step 7?

Revolt · Accepted Answer

taking the square root of both sides of the equation

Question 4

Question 6

Revolt · Accepted Answer

82021

Question 5

Consider the function f(x) = 3x2 + 7x + 2. What is the value of the discriminant? How many x-intercepts does this function have? What are the number of zeros for this function?

Revolt · Accepted Answer

25; Selection 1: 25; Selection 2: 2; Selection 3: two real number solutions

Question 6

Which graph shows a quadratic function with a discriminant value of 0?

Revolt · Accepted Answer

[Image: On a coordinate plane, a parabola opens up. It goe...]

Question 7

Which values of c will cause the quadratic equation –x2 + 3x + c = 0 to have no real number solutions? Check all that apply.

Revolt · Accepted Answer

–5; negative nine-halves

Question 8

Which value of b will cause the quadratic equation x2 + bx + 5 = 0 to have two real number solutions?

Revolt · Accepted Answer

–5

Question 9

Question 11

Revolt · Accepted Answer

2

Question 10

Question 12

Revolt · Accepted Answer

two real number solutions

Introduction to the Quadratic Formula Answers

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