Questions: Factor: x^2 + 4x - 21

Factor: x^2 + 4x - 21
Transcript text: Factor: \[ x^{2}+4 x-21 \]
failed

Solution

failed
failed

Solution Steps

To factor the quadratic expression \(x^2 + 4x - 21\), we need to find two numbers that multiply to the constant term (-21) and add up to the coefficient of the linear term (4). Once we find these numbers, we can rewrite the quadratic expression in its factored form.

Step 1: Identify the Quadratic Expression

We start with the quadratic expression: \[ x^2 + 4x - 21 \]

Step 2: Find the Factors

We need to find two numbers that multiply to \(-21\) (the constant term) and add up to \(4\) (the coefficient of the linear term). These numbers are \(-3\) and \(7\).

Step 3: Rewrite the Expression in Factored Form

Using the numbers \(-3\) and \(7\), we can rewrite the quadratic expression as: \[ (x - 3)(x + 7) \]

Final Answer

\(\boxed{(x - 3)(x + 7)}\)

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
A student surveys his class and creates a histogram showing the number of pets each student owns. What is the shape of the distribution? O uniform O unimodal and right-skewed O unimodal and left-skewed O unimodal and symmetric O bimodal Select the correct answer below: Frequency 0 2 4 6 8 10 Number of Pets 0 1 2 3 4
failedAnswered
Write the coordinates of each point identified by its name. Point T is at 5 Write the coordinates of each point identified by its name. Point N is at type your answer... Write the coordinates of each point identified by its name. Point S is at type your answer... Write the coordinates of each point identified by its name. Point Y is at type your answer...
failedAnswered
Question 4.5A/6 A recent telephone poll of 1000 randomly selected women revealed that 600 women used birth control. Part 2 of 3. (Cumulative chance there has been progress: 0.51%) Identify the population in this given problem. Choose the correct answer below. A. The population is the 600 women B. The population is the 1000 women selected C. The population is all women in the country D. The population is all women in the world
failedAnswered
Solve for u. 7+u=-9 u=
failedAnswered
The weight of bodies may change somewhat from one location to another as a result of the variation of the gravitational acceleration g with elevation. Accounting for this variation using g = a - bz, where a = 9.807 m / s^2 and b = 3.32 x 10^-6 s^-2, determine the weight of a 90-kg person at sea level (z=0), in Denver (z=1610 m), and on the top of Mount Everest (z=8848 m).