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Popular >

factor t^3+t^2-5t+3

Solution

factor

t^{3} + t^{2} - 5 t + 3

Solution

(t - 1)^{2} (t + 3)

Solution steps

t^{3} + t^{2} - 5 t + 3

Use the rational root theorem

= (t - 1) \frac{t ^{3} + t ^{2} - 5 t + 3}{t - 1}

\frac{t ^{3} + t ^{2} - 5 t + 3}{t - 1} = t^{2} + 2 t - 3

= (t - 1) (t^{2} + 2 t - 3)

Factor

t^{2} + 2 t - 3 : (t - 1) (t + 3)

= (t - 1) (t - 1) (t + 3)

Apply exponent rule:

aa = a^{2}

(t - 1) (t - 1) = (t - 1)^{2}

= (t - 1)^{2} (t + 3)

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Frequently Asked Questions (FAQ)

What is factor t^3+t^2-5t+3 ?
The solution to factor t^3+t^2-5t+3 is (t-1)^2(t+3)