diff --git a/poly/benches/dense_uv_polynomial.rs b/poly/benches/dense_uv_polynomial.rs
index 55d8e1bf1..c6cf887a5 100644
--- a/poly/benches/dense_uv_polynomial.rs
+++ b/poly/benches/dense_uv_polynomial.rs
@@ -59,7 +59,7 @@ fn bench_sparse_poly_evaluate<F: Field>(b: &mut Bencher, non_zero_entries: &usiz
 fn bench_poly_evaluate<F: Field>(b: &mut Bencher, degree: &usize) {
     // Per benchmark setup
     let mut rng = &mut ark_std::test_rng();
-    let poly = DensePolynomial::<F>::rand(*degree, &mut rng);
+    let poly = DensePolynomial::rand(*degree, &mut rng);
     b.iter(|| {
         // Per benchmark iteration
         let pt = F::rand(&mut rng);
@@ -71,7 +71,7 @@ fn bench_poly_add<F: Field>(b: &mut Bencher, degree: &usize) {
     // Per benchmark setup
     let mut rng = &mut ark_std::test_rng();
     let poly_one = DensePolynomial::<F>::rand(*degree, &mut rng);
-    let poly_two = DensePolynomial::<F>::rand(*degree, &mut rng);
+    let poly_two = DensePolynomial::rand(*degree, &mut rng);
     b.iter(|| {
         // Per benchmark iteration
         let _poly_three = &poly_one + &poly_two;
diff --git a/poly/benches/fft.rs b/poly/benches/fft.rs
index 47ccb0dbc..0f89c8096 100644
--- a/poly/benches/fft.rs
+++ b/poly/benches/fft.rs
@@ -63,7 +63,7 @@ fn fft_setup_with_domain_size<F: FftField, D: EvaluationDomain<F>>(
 ) -> (D, Vec<F>) {
     let mut rng = &mut ark_std::test_rng();
     let domain = D::new(domain_size).unwrap();
-    let a = DensePolynomial::<F>::rand(degree - 1, &mut rng)
+    let a = DensePolynomial::rand(degree - 1, &mut rng)
         .coeffs()
         .to_vec();
     (domain, a)
diff --git a/poly/src/polynomial/univariate/dense.rs b/poly/src/polynomial/univariate/dense.rs
index 075351523..d91fd95a8 100644
--- a/poly/src/polynomial/univariate/dense.rs
+++ b/poly/src/polynomial/univariate/dense.rs
@@ -172,7 +172,7 @@ impl<F: FftField> DensePolynomial<F> {
 
         if self.coeffs.len() < domain_size {
             // If degree(self) < len(Domain), then the quotient is zero, and the entire polynomial is the remainder
-            (DensePolynomial::<F>::zero(), self.clone())
+            (DensePolynomial::zero(), self.clone())
         } else {
             // Compute the quotient
             //
@@ -206,8 +206,8 @@ impl<F: FftField> DensePolynomial<F> {
                 .zip(&quotient_vec)
                 .for_each(|(s, c)| *s += c);
 
-            let quotient = DensePolynomial::<F>::from_coefficients_vec(quotient_vec);
-            let remainder = DensePolynomial::<F>::from_coefficients_vec(remainder_vec);
+            let quotient = DensePolynomial::from_coefficients_vec(quotient_vec);
+            let remainder = DensePolynomial::from_coefficients_vec(remainder_vec);
             (quotient, remainder)
         }
     }