Solve s^2+12s+11 - ScanMath

Question

Factor the expression

Factor

(s + 1) (s + 11)

Evaluate

s^{2} + 12 s + 11

Rewrite the expression

s^{2} + (11 + 1) s + 11

Calculate

s^{2} + 11 s + s + 11

Rewrite the expression

s \times s + s \times 11 + s + 11

Factor out s from the expression

s (s + 11) + s + 11

Solution

(s + 1) (s + 11)

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Find the roots of the algebra expression

s_{1} = - 11, s_{2} = - 1

Evaluate

s^{2} + 12 s + 11

To find the roots of the expression,set the expression equal to 0

s^{2} + 12 s + 11 = 0

Factor the expression

More Steps

Evaluate

s^{2} + 12 s + 11

Rewrite the expression

s^{2} + (11 + 1) s + 11

Calculate

s^{2} + 11 s + s + 11

Rewrite the expression

s \times s + s \times 11 + s + 11

Factor out s from the expression

s (s + 11) + s + 11

Factor out s + 11 from the expression

(s + 1) (s + 11)

(s + 1) (s + 11) = 0

When the product of factors equals 0,at least one factor is 0

s + 1 = 0 s + 11 = 0

Solve the equation for s

More Steps

Evaluate

s + 1 = 0

Move the constant to the right-hand side and change its sign

s = 0 - 1

Removing 0 doesn't change the value,so remove it from the expression

s = - 1

s = - 1 s + 11 = 0

Solve the equation for s

More Steps

Evaluate

s + 11 = 0

Move the constant to the right-hand side and change its sign

s = 0 - 11

Removing 0 doesn't change the value,so remove it from the expression

s = - 11

s = - 1 s = - 11

Solution

s_{1} = - 11, s_{2} = - 1

Show Solution