Asked by Rhetori Thompson on May 12, 2024
Verified
Solve the equation below by factoring. x2−4x−45=0x ^ { 2 } - 4 x - 45 = 0x2−4x−45=0
A) 5,−95 , - 95,−9
B) −5,9- 5,9−5,9
C) 4,54,54,5
D) 0,90,90,9
E) −5,−9- 5 , - 9−5,−9
Factoring
The process of breaking down an expression into a product of its simpler factors.
Equation
A mathematical statement asserting the equality of two expressions, typically involving variables and constants.
- Acquire knowledge of and implement the principles involved in the factoring of polynomials for equation solving.
Verified Answer
KA
Kellyneth AlmaguerMay 13, 2024
Final Answer :
B
Explanation :
To factor the quadratic, we need to find two numbers whose product is -45 and sum is -4. These numbers are -5 and 9. Therefore, we can write the quadratic as (x-5)(x+9) = 0. Setting each factor to zero, we get x = 5 and x = -9. Thus, the solution is x = -5 or x = 9, which corresponds to answer choice B.
Learning Objectives
- Acquire knowledge of and implement the principles involved in the factoring of polynomials for equation solving.