   Chapter 1.1, Problem 144E
Textbook Problem

Worker Efficiency An efficiency study conducted by Elektra Electronics showed that the number of Space Commander walkie-talkies assembled by the average worker t hr after starting work at 8 a.m. is−t3 + 6t2 + 15t (0 ≤ t ≤ 4)Factor the expression.

To determine
The factor of the expression t3+6t2+15t .

Explanation

Given: The equation is t3+6t2+15t .

Formula used:

The roots of the quadratic equation is x=b±b24ac2a .

Calculation:

The equation is t3+6t2+15t .

Make the factors of the equation.

Take t as common factor in the above equation as.

t(t2+6t+15)=0

Equate each factors equal to zero,

t=0

And t2+6t+15=0 .

The second factor is in the standard quadratic form with a=1,b=+6,c=15 .

Substitute the value of a,b,c in roots of the quadratic equation

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