Factor. 4t^3 - 20t^2 - 3t + 15 ______

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Identify Common Factors: Look for common factors in pairs of terms. First, we will try to factor by grouping. We will look at the first two terms and the last two terms separately to see if there is a common factor in each pair.Factor Out First Two Terms: Factor out the common factor from the first two terms. The first two terms are 4t^3 and -20t^2. The common factor is 4t^2. 4t^3 - 20t^2 = 4t^2(t - 5)Factor Out Last Two Terms: Factor out the common factor from the last two terms. The last two terms are -3t and +15. The common factor is -3. -3t + 15 = -3(t - 5)Rewrite with Factored Groups: Rewrite the polynomial with the factored groups. Now we have factored out the common factors from the first two terms and the last two terms, we can rewrite the polynomial as: 4t^2(t - 5) - 3(t - 5)Factor Out Common Binomial: Factor out the common binomial factor. We can see that (t - 5) is a common factor in both terms. 4t^2(t - 5) - 3(t - 5) = (t - 5)(4t^2 - 3)Check Quadratic Factor: Check if the quadratic factor can be factored further. The quadratic factor 4t^2 - 3 does not have any common factors and it does not factor nicely as a product of binomials with integer coefficients. Therefore, it is already in its simplest factored form.

Factor. $\newline$ $4t^3 - 20t^2 - 3t + 15$

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Factor.\newline4t3−20t2−3t+154t^3 - 20t^2 - 3t + 154t3−20t2−3t+15

Factor. $\newline$ $4t^3 - 20t^2 - 3t + 15$