Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x2−9x+14
Evaluate
(x−2)(x−7)
Apply the distributive property
x×x−x×7−2x−(−2×7)
Multiply the terms
x2−x×7−2x−(−2×7)
Use the commutative property to reorder the terms
x2−7x−2x−(−2×7)
Multiply the numbers
x2−7x−2x−(−14)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
x2−7x−2x+14
Solution
More Steps
Evaluate
−7x−2x
Collect like terms by calculating the sum or difference of their coefficients
(−7−2)x
Subtract the numbers
−9x
x2−9x+14
Show Solution
Find the roots
x1=2,x2=7
Evaluate
(x−2)(x−7)
To find the roots of the expression,set the expression equal to 0
(x−2)(x−7)=0
Separate the equation into 2 possible cases
x−2=0x−7=0
Solve the equation
More Steps
Evaluate
x−2=0
Move the constant to the right-hand side and change its sign
x=0+2
Removing 0 doesn't change the value,so remove it from the expression
x=2
x=2x−7=0
Solve the equation
More Steps
Evaluate
x−7=0
Move the constant to the right-hand side and change its sign
x=0+7
Removing 0 doesn't change the value,so remove it from the expression
x=7
x=2x=7
Solution
x1=2,x2=7
Show Solution