Look for common factors: Look for common factors in each pair of terms.We can factor out 4p2 from the first two terms and 7 from the last two terms.4p3−4p2+7p−7=4p2(p−1)+7(p−1)
Factor out common terms: Check if there is a common binomial factor.Both groups have a common factor of (p−1).4p2(p−1)+7(p−1)=(4p2+7)(p−1)
Check for common binomial factor: Write the final factored form.The factored form of the polynomial is (4p2+7)(p−1).